If y = 3 log(√sin x), then the value of dydx at x = π4 is:

Let f(x) = tan-1(x1/3 + a1/31 - x1/3a1/3), then f'(x) equals:

Which statement about the derivative of a constant function is correct?

Which of the following correctly represents the second derivative y2 if x2 + y2 = r2?

If y = √(xa) + √(ax), then 2xy dydx is equal to:

If f(x) = (3 + x1 + x)2 + 3x, then f'(0) is equal to:

If y = sin-11√(x+1), then dydx =

The value of ddx{sin2(cot-1 √(1 + x1 - x))} is equal to:

If f(x) is an even function and f'(0) exists, then the value of f'(0) will be: