Question

Power Rule of the derivative states that, \(\frac{d(x^n)}{dx}=nx^{n-1}.\)

(a) True

(b) False

This question was posed to me by my college professor while I was bunking the class.

My doubt is from Derivatives of Area topic in division Differential Calculus of Engineering Mathematics

Answer 1

The correct option is (b) False

The explanation: Power Rule is given by, \(\frac{d(x^n)}{dx}=nx^{n-1}.\)

For example, \(\frac{d(x^4)}{dx}=4x^3. \)