JEE Advanced questions
3844 published questions with worked solutions.
- If x^y = e^ x-y then dy dx at x=1 is equal to
- If xe^ xy - y = ^2 x then dy dx at x=0 is
- If x = e^ ,y + e^ ,y + to then dy dx is
- If f'(x) = 2x^2-1 and y = f(x^2) then dy dx at x=1 is
- If y = ^ -1 ( 5 x - 12 x 13 ), x (0, 2 ), then dy dx is equal to
- If y = ^ -1 x+1 x-1 then dy dx is equal to
- If x^y y^x = 16 then dy dx at (2,2) is
- If y = x^ 1/x , the value of dy dx at x=e is
- The derivative of ^ -1 2x 1-x^2 with respect to ^ -1 2x 1+x^2 is
- Let the function y = f(x) be given by x = t^5 - 5t^3 - 20t + 7 and y = 4t^3 - 3t^2 - 18t + 3, where t (-2,2). Then f'(x) at t=1 is
- If f(x) = 2 [x] - x^3 , 1<x<2, and [x] = the greatest integer x, then f' ! ( [3] 2 ) is equal to
- If y = x^ and z = x then dy dz is equal to
- The derivative of ^ -1 1+x^2 -1 x with respect to ^ -1 x is
- The differential coefficient of cosec ^ -1 1 2x^2-1 with respect to 1-x^2 at x = 12 is
- If the prime sign (') represents differentiation w.r.t. x and f'(x) = x + 4x x then f' ! (2x^2 + 2 ) at x = 2 is equal to
- If u = f(x^3), v = g(x^2), f'(x) = x and g'(x) = x then du dv is
- If y = f ( 2x-1 x^2+1 ) and f'(x) = x^2 then dy dx is
- If e^x = 1+t - 1-t 1+t + 1-t and y 2 = 1-t 1+t then dy dx at t = 12 is
- If t(1+x^2) = x and x^2 + t^2 = y then dy dx at x=2 is
- Let f(x) be a polynomial function of the second degree. If f(1) = f(-1) and a_1, a_2, a_3 are in AP then f'(a_1), f'(a_2),...