# Solution: Differentiate y = e^x cos⁡〖x^2 〗

Differentiate y = e^x cos⁡〖x^2 〗. How to find the derivative using the product rule involving exponential and trigonometric functions?

#### Problem Statement: EE Board October 1997

Differentiate y = e^x cos⁡〖x^2 〗
• A. –ex sin x2
• B. ex (cos x2 – 2x sin x2)
• C. ex cos x2 – 2x sin x2
• D. -2xex sin x

The derivative is equal to y^'=e^x (cos⁡〖x^2 〗-2x sin⁡〖x^2 〗 )

Solution:

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