Question

What is derivative of x^n?

(a) n

(b) nx^n

(c) nx^n-1

(d) nx^n-2

This question was posed to me during an online interview.

My enquiry is from Differentiability topic in portion Continuity and Differentiability of Mathematics – Class 12

Answer 1

Correct answer is (c) nx^n-1

To elaborate: It is a standard rule for derivative of a function of this form in which the original power comes in front and the value in the power is decreased by one. Therefore the only option of this form is nx^n-1 from the given options.