Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Continuity and Differentiability

Question:
What is the derivative of the function $f(x)=\sin(x^3+6)$?
Options:
$\cos(x^3+6)$
$3x^2\sin(x^3+6)$
$6x\sin(x^3+6)$
$3x^2\cos(x^3+6)$
Correct Answer:
$3x^2\cos(x^3+6)$
Explanation:
$f(x)=\sin(x^3+6)$, then $f'(x)=\cos(x^3+6)\frac{d}{dx}(x^3+6)=\cos(x^3+6)(3x^2)=3x^2\cos(x^3+6)$