Which of the following is/are true? I. The derivative of ${f}({x})={x}^3$ is ${x}^2$ II. The derivative of $f(x)=\frac{1}{x^3}$ is $\frac{-1}{x^2}$

JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1

Which of the following is/are true?

I. The derivative of

{f}({x})={x}^3

{x}^2

II. The derivative of

f(x)=\frac{1}{x^3}

\frac{-1}{x^2}

View answer and explanation

Correct option: D

Both I and II are false

Option D is correct because both statements are false. The derivative of x³ is 3x², and the derivative of 1/x³ is -3/x⁴.

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