Calculus

. Find the derivative f' (x) of each of the following functions.

\text { (c) } f(x)=\left(x^{4} \cdot \ln x\right)^{21}

\text { (a) } f(x)=\frac{\sqrt{x}+e^{3 x}}{x^{2}+x+1}

\text { (b) } f(x)=e^{x^{3}} \cdot \ln \left(x-x^{2}\right)

\text { (d) } f(x)=\frac{x^{2} \cdot e^{x}}{x^{2}+1}

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