Adept Eduverse - BetterTube

0:24

Why IITian life is awesome! Adept Eduverse

38 views - 2 weeks ago

How one can pivot to IIT study through normal background!

1:01

How one can pivot to IIT study through normal background! Adept Eduverse

27 views - 2 weeks ago

Find the number of positive integral value of x (3^x - 5^x)(x - 2)/(x^2 + 5x + 2) is bigger or = 0

4:14

Find the number of positive integral value of x (3^x - 5^x)(x - 2)/(x^2 + 5x + 2) is bigger or = 0 Adept Eduverse

164 views - 11 months ago

2:35

(x^2+3x+1)(x^2+3x-3) is bigger or = 5 Adept Eduverse

75 views - 11 months ago

The integral of (sec^2(x)/(secx+tanx)^9/2)dx

3:33

The integral of (sec^2(x)/(secx+tanx)^9/2)dx Adept Eduverse

94 views - 11 months ago

JEE Mains & JEE Advanced 2025 | Probability (L2) One-Shot | Live Streaming

56:11

JEE Mains & JEE Advanced 2025 | Probability (L2) One-Shot | Live Streaming Adept Eduverse

319 views - 1 year ago

If Pn is the sum of a GP upto n terms. Show that (1– r)dPn/dr= n.Pn–1 – (n – 1) Pn. #maths #jeemains

7:36

If Pn is the sum of a GP upto n terms. Show that (1– r)dPn/dr= n.Pn–1 – (n – 1) Pn. #maths #jeemains Adept Eduverse

281 views - 1 year ago

$If (a+bx)e^{y/x} = x, then prove that x^3.y'' = (xy'-y)^2 #maths #jeeadvanced #jeemains$ 5:48

If (a+bx)e^{y/x} = x, then prove that x^3.y'' = (xy'-y)^2 #maths #jeeadvanced #jeemains Adept Eduverse

77 views - 1 year ago

If x = secA – cosA and y = (secA)^n– (cosA)^n then show that (x^2 +2)(y')^2 = n^2(y^2+4) #maths #jee

6:09

If x = secA – cosA and y = (secA)^n– (cosA)^n then show that (x^2 +2)(y')^2 = n^2(y^2+4) #maths #jee Adept Eduverse

62 views - 1 year ago

If f(x)= ax^2/(x-a)(x-b)(x-c) + bx/(x-b)(x-c) + c/(x-c) +1, then, prove that, y'/y = (1/x)(a/a-x

4:06

If f(x)= ax^2/(x-a)(x-b)(x-c) + bx/(x-b)(x-c) + c/(x-c) +1, then, prove that, y'/y = (1/x)(a/a-x Adept Eduverse

42 views - 1 year ago

If F(x) = f(x). g(x) and f '(x). g '(x) = c, prove that F''/F = f'/f + g'/g + 2c/fg and F'''/F =

3:01

If F(x) = f(x). g(x) and f '(x). g '(x) = c, prove that F''/F = f'/f + g'/g + 2c/fg and F'''/F = Adept Eduverse

30 views - 1 year ago

Show that the substitution z = ln(tan(x/2)) changes the equation y'' + cot x.y'+ 4y(cosecx)^2 = 0 to

3:39

Show that the substitution z = ln(tan(x/2)) changes the equation y'' + cot x.y'+ 4y(cosecx)^2 = 0 to Adept Eduverse

66 views - 1 year ago

If cosx/2. cosx/2^2. cosx/2^3.... =sinx/x, then find the value of 1/2^2sec(x/2) + 1/2^4secx/2^2+1/2

2:56

If cosx/2. cosx/2^2. cosx/2^3.... =sinx/x, then find the value of 1/2^2sec(x/2) + 1/2^4secx/2^2+1/2 Adept Eduverse

70 views - 1 year ago

The functions u = e^x sin x; v = e^x cos x satisfy the equation #maths #jeeadvanced #jeemains

3:42

The functions u = e^x sin x; v = e^x cos x satisfy the equation #maths #jeeadvanced #jeemains Adept Eduverse

14 views - 1 year ago

Let f(x) = x sinpi.x, x 0. Then for all natural numbers n, f'(x) vanishes at #maths #jeeadvanced

4:26

Let f(x) = x sinpi.x, x 0. Then for all natural numbers n, f'(x) vanishes at #maths #jeeadvanced Adept Eduverse

15 views - 1 year ago

If sqrt(x^2 + y^2)= e^t & t = sin–1(y/sqrt(x^2+y^2)), then, dy/dx is equal to #maths #jeeadvanced

4:19

If sqrt(x^2 + y^2)= e^t & t = sin–1(y/sqrt(x^2+y^2)), then, dy/dx is equal to #maths #jeeadvanced Adept Eduverse

39 views - 1 year ago

If for x in (0,1/4), the derivative of tan–1(6x.sqrt(x)/1-9x^3) is x . g(x), then g(x) equals #maths

5:12

If for x in (0,1/4), the derivative of tan–1(6x.sqrt(x)/1-9x^3) is x . g(x), then g(x) equals #maths Adept Eduverse

30 views - 1 year ago

The area of the closed figure bounded by y = x, y = -x and the tangent to the curve y = sqrt(x^2-5)

3:27

The area of the closed figure bounded by y = x, y = -x and the tangent to the curve y = sqrt(x^2-5) Adept Eduverse

227 views - 1 year ago

Let g(x) = logf(x), where f(x) is a twice differentiable positive function on (0, infinity) such

3:57

Let g(x) = logf(x), where f(x) is a twice differentiable positive function on (0, infinity) such Adept Eduverse

99 views - 1 year ago

If f''(x) = – f(x) and g(x) = f'(x) and F(x) =2(f(x/2)^2)+2(g(x/2)^2)and given that F(5) = 5, then

5:42

If f''(x) = – f(x) and g(x) = f'(x) and F(x) =2(f(x/2)^2)+2(g(x/2)^2)and given that F(5) = 5, then Adept Eduverse

18 views - 1 year ago

If x cos y + y cos x = pi then the value of y'(0) is equal to #maths #jeeadvanced #jeemains

4:23

If x cos y + y cos x = pi then the value of y'(0) is equal to #maths #jeeadvanced #jeemains Adept Eduverse

49 views - 1 year ago

Let S denote the set of all polynomials P(x) of degree = 2 such that P(1) = 1, P(0) = 0 and P'(x)

2:41

Let S denote the set of all polynomials P(x) of degree = 2 such that P(1) = 1, P(0) = 0 and P'(x) Adept Eduverse

34 views - 1 year ago

If y is a function of x and ln (x + y) – 2xy = 0, then the value of y'(0) is equal to #maths #jee

1:21

If y is a function of x and ln (x + y) – 2xy = 0, then the value of y'(0) is equal to #maths #jee Adept Eduverse

20 views - 1 year ago

If y = x + e^x , then y'' is equal to #maths #jeeadvanced #jeemains

0:34

If y = x + e^x , then y'' is equal to #maths #jeeadvanced #jeemains Adept Eduverse

12 views - 1 year ago

If u = ax + b, then (dn/dxn)(f(ax + b)) is equal to #maths #jeeadvanced #jeemains

4:34

If u = ax + b, then (dn/dxn)(f(ax + b)) is equal to #maths #jeeadvanced #jeemains Adept Eduverse

17 views - 1 year ago

If y = arcsin(xsqrt(1-x) + sqrt(x)sqrt(1-x^2)) and dy/dx=1/2sqrt(x(1-x))+ p, then p is equal to #jee

3:25

If y = arcsin(xsqrt(1-x) + sqrt(x)sqrt(1-x^2)) and dy/dx=1/2sqrt(x(1-x))+ p, then p is equal to #jee Adept Eduverse

202 views - 1 year ago

$If y = x .ln ((ax)^{–1} + a^{–1}), prove that x(x + 1)y'' + xy' = y-1 #maths #jeeadvanced #jeemains$ 4:06

If y = x .ln ((ax)^{–1} + a^{–1}), prove that x(x + 1)y'' + xy' = y-1 #maths #jeeadvanced #jeemains Adept Eduverse

29 views - 1 year ago

$If e^{x + y} = xy, then show that y'' = -y((x-1)^2 + (y-1)^2)/(x^2).(y-1)^3 #maths #jeeadvanced #jee$ 5:33

If e^{x + y} = xy, then show that y'' = -y((x-1)^2 + (y-1)^2)/(x^2).(y-1)^3 #maths #jeeadvanced #jee Adept Eduverse

24 views - 1 year ago

$If y = Ae^{-kt}cos (pt + c), then prove that y'' + 2ky'+ n^2.y = 0, where n^2 = p^2 + k^2 #maths$ 5:33

If y = Ae^{-kt}cos (pt + c), then prove that y'' + 2ky'+ n^2.y = 0, where n^2 = p^2 + k^2 #maths Adept Eduverse

123 views - 1 year ago

(i) If e^y(x + 1) = 1, show that y'' = (y')^2 (ii) If y = sin (2 sin–1 x), show that (1 – x^2)y''= x

10:00

(i) If e^y(x + 1) = 1, show that y'' = (y')^2 (ii) If y = sin (2 sin–1 x), show that (1 – x^2)y''= x Adept Eduverse

8 views - 1 year ago

Differentiate (i) arctan(1-2x/1+2x) w.rt sqrt(1+4x^2) (ii) arctan(sqrt(1+x^2) -1/x) wrt arctanx #jee

6:33

Differentiate (i) arctan(1-2x/1+2x) w.rt sqrt(1+4x^2) (ii) arctan(sqrt(1+x^2) -1/x) wrt arctanx #jee Adept Eduverse

8 views - 1 year ago

$If y =x^{a}^x^{a}..., then prove that y' = (y^2. lny)/x(1-ylnylnx) #maths #jeeadvanced #jeemains$ 1:59

If y =x^{a}^x^{a}..., then prove that y' = (y^2. lny)/x(1-ylnylnx) #maths #jeeadvanced #jeemains Adept Eduverse

7 views - 1 year ago

$It is known for x not 1 that 1 + x + x^2 +....+x^{n–1} =(1-x^n)/(1-x), hence find the sum of the ser$ 3:36

It is known for x not 1 that 1 + x + x^2 +....+x^{n–1} =(1-x^n)/(1-x), hence find the sum of the ser Adept Eduverse

15 views - 1 year ago

If y =x/(x+a/(b+x/(a+..))) , then find dy/dx #maths #jeeadvanced #jeemains

1:38

If y =x/(x+a/(b+x/(a+..))) , then find dy/dx #maths #jeeadvanced #jeemains Adept Eduverse

13 views - 1 year ago

If f is twice differentiable such that f''(x) = –f(x) and f'(x) = g(x). If h(x) is a twice different

2:29

If f is twice differentiable such that f''(x) = –f(x) and f'(x) = g(x). If h(x) is a twice different Adept Eduverse

26 views - 1 year ago

If f(x) = |[cos(x+x^2) sin(x+x^2) -cos(x+x^2)],[sin(x-x^2) cos(x-x^2) -sin(x-x^2)],[sin2x 0 sin2x^

3:49

If f(x) = |[cos(x+x^2) sin(x+x^2) -cos(x+x^2)],[sin(x-x^2) cos(x-x^2) -sin(x-x^2)],[sin2x 0 sin2x^ Adept Eduverse

42 views - 1 year ago

$If fn(x) = e^{fn-1(x)} for all n in N and fo(x) = x, then d/dx{fn (x)} is equal to #maths #jeemains$ 2:14

If fn(x) = e^{fn-1(x)} for all n in N and fo(x) = x, then d/dx{fn (x)} is equal to #maths #jeemains Adept Eduverse

27 views - 1 year ago

The differential coefficient of sin-1(t/sqrt(1+t^2)) w.r.t cos-1(1/sqrt(1+t^2)) is #maths #jeemains

1:28

The differential coefficient of sin-1(t/sqrt(1+t^2)) w.r.t cos-1(1/sqrt(1+t^2)) is #maths #jeemains Adept Eduverse

41 views - 1 year ago

If y^2 = P(x) is a polynomial of degree 3, then 2(d/dx)(y''.y^3) is equal to #maths #jeeadvanced

4:38

If y^2 = P(x) is a polynomial of degree 3, then 2(d/dx)(y''.y^3) is equal to #maths #jeeadvanced Adept Eduverse

16 views - 1 year ago

If y = (sin–1 x)^2 + (cos–1 x)^2, then (1 – x^2)y'' - xy' is equal to #maths #jeeadvanced #jeemains

8:29

If y = (sin–1 x)^2 + (cos–1 x)^2, then (1 – x^2)y'' - xy' is equal to #maths #jeeadvanced #jeemains Adept Eduverse

25 views - 1 year ago

2:09

d2x/dy2 = #maths #jeeadvanced #jeemains Adept Eduverse

29 views - 1 year ago

Let f : (–1, 1) in R be a differentiable function with f(0) = – 1 and f'(0) = 1. Let g(x) = [f(2f(

1:54

Let f : (–1, 1) in R be a differentiable function with f(0) = – 1 and f'(0) = 1. Let g(x) = [f(2f( Adept Eduverse

33 views - 1 year ago

$Let y be an implicit function of x defined by x^{2x} – 2x^{x} cot y – 1 = 0. Then y'(1) equals$ 4:17

Let y be an implicit function of x defined by x^{2x} – 2x^{x} cot y – 1 = 0. Then y'(1) equals Adept Eduverse

45 views - 1 year ago

Statement - 1 Let f : [0, infinity) to [0, infinity) be a function defined by y = f(x) = x^2, then

4:09

Statement - 1 Let f : [0, infinity) to [0, infinity) be a function defined by y = f(x) = x^2, then Adept Eduverse

69 views - 1 year ago

If f(x), g(x), h(x) are polynomials in x of degree 2 and F(x) = |[f g h], [f' g' h'], [f'' g'' h'']|

2:49

If f(x), g(x), h(x) are polynomials in x of degree 2 and F(x) = |[f g h], [f' g' h'], [f'' g'' h'']| Adept Eduverse

25 views - 1 year ago

Let f(x) be a polynomial in x. Then the second derivative of f(e^x) w.r.t. x is #maths #jeeadvanced

1:10

Let f(x) be a polynomial in x. Then the second derivative of f(e^x) w.r.t. x is #maths #jeeadvanced Adept Eduverse

13 views - 1 year ago

Find dy/dx in each of the following cases: (i) y = tan–1(4x/1+5x^2) + tan–1((2+3x)/(3-2x)), (0 x 1

9:33

Find dy/dx in each of the following cases: (i) y = tan–1(4x/1+5x^2) + tan–1((2+3x)/(3-2x)), (0 x 1 Adept Eduverse

31 views - 1 year ago

Find dy/dx, when x and y are connected by the following relations (i) ax^2 + 2hxy + by^2 +2gx + 2fy

4:21

Find dy/dx, when x and y are connected by the following relations (i) ax^2 + 2hxy + by^2 +2gx + 2fy Adept Eduverse

11 views - 1 year ago

Find dy/dx if : (i) x = a(cost + 0.5ln(tant/2)^2 and y = a sin t (ii) x = sint.sqrt(cos2t) and y =

6:23

Find dy/dx if : (i) x = a(cost + 0.5ln(tant/2)^2 and y = a sin t (ii) x = sint.sqrt(cos2t) and y = Adept Eduverse

11 views - 1 year ago

$Differentiate the given functions w.r.t.x (i) (ln x)^{cos x} (ii) x^x – 2^{sinx} (iii) y = (x.lnx)^{$ 7:34

Differentiate the given functions w.r.t.x (i) (ln x)^{cos x} (ii) x^x – 2^{sinx} (iii) y = (x.lnx)^{ Adept Eduverse

24 views - 1 year ago

$Differentiate the following functions with respect to x: (i) x^{2/3} + 7e –5x+ 7tan x (ii) x2.ln x.e$ 5:29

Differentiate the following functions with respect to x: (i) x^{2/3} + 7e –5x+ 7tan x (ii) x2.ln x.e Adept Eduverse

41 views - 1 year ago

$If 2^x + 2^y = 2^{x + y} , then dy/dx is equal to #maths #jeeadvanced #jeemains2024$ 2:04

If 2^x + 2^y = 2^{x + y} , then dy/dx is equal to #maths #jeeadvanced #jeemains2024 Adept Eduverse

18 views - 1 year ago

If y = sec(tan–1x), then y' at x = 1 is equal to : #maths #jeeadvanced #jeemains

2:20

If y = sec(tan–1x), then y' at x = 1 is equal to : #maths #jeeadvanced #jeemains Adept Eduverse

15 views - 1 year ago

If 8 f(x) + 6 f(1/x) = x + 5 and y = x^2.f(x), then dy/dx at x = –1 is equal to #maths #jeeadvanced

3:37

If 8 f(x) + 6 f(1/x) = x + 5 and y = x^2.f(x), then dy/dx at x = –1 is equal to #maths #jeeadvanced Adept Eduverse

25 views - 1 year ago

$If x^m.y^n = (x + y)^{m + n}, then is #maths #jeeadvanced #jeemains$ 2:59

If x^m.y^n = (x + y)^{m + n}, then is #maths #jeeadvanced #jeemains Adept Eduverse

18 views - 1 year ago

$Let e^{f(x)} = ln x. If g(x) is the inverse function of f(x), then g'(x) equals to: #maths #jee$ 2:09

Let e^{f(x)} = ln x. If g(x) is the inverse function of f(x), then g'(x) equals to: #maths #jee Adept Eduverse

136 views - 1 year ago

If d/dx(1+x^2+x^4)/(1+x+x^2)=ax + b, then the value of 'a' and 'b' are respectively #maths #jee

1:31

If d/dx(1+x^2+x^4)/(1+x+x^2)=ax + b, then the value of 'a' and 'b' are respectively #maths #jee Adept Eduverse

139 views - 1 year ago

If ax^2 + 2 hxy + by^2 = 0, then dy/dx is equal to #maths #jeeadvanced #jeemains

3:20

If ax^2 + 2 hxy + by^2 = 0, then dy/dx is equal to #maths #jeeadvanced #jeemains Adept Eduverse

20 views - 1 year ago

Let g is the inverse function of f and f'(x) = x^10/(1+x^2). If g(2) = a, then g'(2) is equal to

2:40

Let g is the inverse function of f and f'(x) = x^10/(1+x^2). If g(2) = a, then g'(2) is equal to Adept Eduverse

16 views - 1 year ago

If xsqrt(1+y)+ ysqrt(1+x)= 0, then dy/dx is equal to #maths #jeeadvanced #jeemains

3:46

If xsqrt(1+y)+ ysqrt(1+x)= 0, then dy/dx is equal to #maths #jeeadvanced #jeemains Adept Eduverse

13 views - 1 year ago