Question
Download Solution PDFDifferentiate ecos x with respect to x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
Calculation:
Let y = ecos x.
Using the chain rule:
y' = \( \frac{d}{dx} e^{\cos x} \)
⇒ \( y' = e^{cos x } \frac{d}{dx} \cos x \)
⇒ \(y' = -e^{\cos x} \sin x \)
Conclusion:
∴ The derivative of ecos x with respect to x is: -ecos x × sin x
Correct Answer: Option 1
Last updated on Jul 1, 2025
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