If and y = f(x2), then find at x = 1.

y = f(x2)Putting x = 1,=2√1=2i.e., at x = 1. (Ans)

Q5 of 354 Page 11

If and y = f(x²), then find at x = 1.

y = f(x²)

Putting x = 1,

=2√1

i.e., at x = 1. (Ans)

If f’ (1) = 2 and y = f(log_e x), find .. at x = e.

If f(1) = 4, f’(1) = 2, find the value of the derivative of log (f(e^x)) with respect to x at the point x = 0.

Let g(x) be the inverse of an invertible function f(x) which is derivable at x = 3. If f(3) = 9 and f’(3) = 9, write the value of g’(9).

If y = sin^–1 (sin x), Then write the value of .