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})\,



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