Home › UP Board Class 12 › mathematics › Continuity and Differentiability › The derivative of $\sin(3x)$ is:
The derivative of $\sin(3x)$ is:
A$\cos(3x)$, ignoring the chain rule factor here on chart
B$3\sin(3x)$, applying chain rule to wrong function on chart
C$\cos(3)$, treating $3$ as a separate variable on the chart
D$3\cos(3x)$, by chain rule the inner derivative is $3$ here
Answer & Solution
Correct answer: D. $3\cos(3x)$, by chain rule the inner derivative is $3$ here
$(\sin(3x))' = 3\cos(3x)$ by chain rule.
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