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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
(x^2+3x+1)(x^2+3x-3) is bigger or = 5
2:35
(x^2+3x+1)(x^2+3x-3) is bigger or = 5
The integral of (sec^2(x)/(secx+tanx)^9/2)dx
3:33
The integral of (sec^2(x)/(secx+tanx)^9/2)dx
JEE Mains & JEE Advanced 2025 | Probability (L2) One-Shot | Live Streaming
56:11
JEE Mains & JEE Advanced 2025 | Probability (L2) One-Shot | Live Streaming
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
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
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
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
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 =
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
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
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
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
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
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
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)
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
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
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
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)
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
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
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
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
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
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
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
(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
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
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