Question

Find the derivative of f(x) = sin(x^2).

(a) -sin(x^2)

(b) 2xcos(x^2)

(c) -2xcos(x^2)

(d) -2xsin(x^2)

The question was asked during an online interview.

Asked question is from Differentiability in section Continuity and Differentiability of Mathematics – Class 12

Answer 1

Right answer is (b) 2xcos(x^2)

Explanation: Differentiation of the function f(x) = sin(x^2) is done with chain rule. First we differentiate sin function which becomes cos and then differentiate the inner (x^2) which becomes 2x, hence it comes out to be 2xcos(x^2).