Kye

2021-05-03

Find derivatives for the functions. Assume a, b, c, and k are constants.
$f\left(z\right)=\frac{{z}^{2}+1}{3z}$

SchepperJ

Simplify f(z)
$f\left(z\right)=\frac{{z}^{2}+1}{3z}=\frac{1}{3}\left(z+{z}^{-1}\right)$
Use the power rule tog et
${f}^{\prime }\left(z\right)=\frac{1}{3}\left(1-{z}^{-2}\right)=\frac{{z}^{2}-1}{3{z}^{2}}$

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