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Home
Questions
G64UZVUYEY
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 $f'(x)=\cos(x^3+6)\frac{d}{dx}(x^3+6)=\cos(x^3+6)(3x^2)=3x^2\cos(x^3+6)$
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