Question:
\(\dfrac{d}{dx}\big(e^{x}+\cos5x\big)=\) ?
\(\dfrac{d}{dx}\big(e^{x}+\cos5x\big)=\) ?
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For $\cos(kx)$, derivative is $-k\sin(kx)$.
Updated On: Oct 17, 2025
- \(e^{x}=\cos5x\)
- \(e^{x}+5\sin5x\)
- \(e^{x}-5\sin5x\)
- \(e^{x}-5\cos5x\)
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The Correct Option is C
Solution and Explanation
Differentiate termwise: \(\dfrac{d}{dx}(e^{x})=e^{x}\);
\(\dfrac{d}{dx}(\cos5x)=-\sin5x\cdot 5\) by chain rule.
Add:
\[
e^{x}-5\sin5x.
\]
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