Methods of Differentiations questions
285 published questions with worked solutions.
- If f(x) = x^2 - x + 5, x > 12, and g(x) is its inverse function, then g'(7) equals:
- If y = (1+x)(1+x^2)(1+x^4) (1+x^ 2^n ) then dy dx at x=0 is
- If f(x) = x 2x 4x 8x 16x then f' ! ( 4 ) is
- If y = ^ -1 ( x) then dy dx at x = 5 4 is equal to
- If y = ( ^ 1 x) then dy dx at x=1 is equal to
- 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 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
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