Am I goong about these two problems correctly?(adsbygoogle = window.adsbygoogle || []).push({});

A) F(x) = (xsinx)(cosx) find F'(x)

f(x)*d/dx(g(x) + g(x) * d/dx F(x) product rule

F'(x) = xsinx d/dx (cosx) + cos x d/dx xsinx

= xsinx*(-sinx) + cos x *(xcosx)

= -xsin^2 x^2 + xcos^2 x^2is that right

B) F(x) = xe^x/ x^2 + 1 find F'(x)

using the quotent rult formula

F'x) = [U]xe^x* d/dx (x^2 +1) - (x^2)* d/dx xe^x

(x^2+1)^2

xe^x(2x)-(x^2 + 1)(1e^x) / (x^2+1)^2

= (2x^2e^x) - (x^2e^x + e^x) / (x^2+1)^2

=x^2 + e^x / (x^2 +1)^2is that right?

thank you for your help

joe

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# Calculus answer check

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