Calc2.36

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Find the derivative of f(x)\, with respect to x\,: f(x)=e^{x^2}\sin (14x)-\cos (e^x)\,

This contains a product and a sum and all three seperate parts use the chain rule. To do this derivative, start with the product rule.

f'(x)\, =2xe^{x^2}\sin (14x)+e^{x^2}14\cos (14x)+e^x\sin (e^x)\,
=2e^{x^2}(x\sin (14x)+7\cos (14x))+e^x\sin (e^x)\,



Main Page : Calculus

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