Question Details

What is derivative of xn?

Options

A

n

B

nxⁿ⁻¹

C

nxn

D

nxⁿ⁻²

Correct Answer :

nxⁿ⁻¹

Solution :

The correct option is nxn-1.

To understand why this is correct, we can look at the Power Rule in calculus. The Power Rule states that for any real number n, the derivative of xn with respect to x is given by multiplying the term by the exponent n and then subtracting 1 from the exponent.

Mathematically, the rule is expressed as:
d d x ( x n ) = n x n - 1
This matches the correct option nxn-1 (or written as nxn-1).

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