Solved: "Find derivatives for the functions. Assume a, b,..." - Plainmath

FizeauV

Answered question

2021-06-20

Find derivatives for the functions. Assume a, b, c, and k are constants.

h (r) = \frac{r^{2}}{2 r + 1}

Answer & Explanation

Nathanael Webber

Skilled2021-06-21Added 117 answers

h^{'} (r) = {(\frac{r^{2}}{2 r + 1})}^{'}

= \frac{{(r^{2})}^{'} (2 r + 1) - r^{2} {(2 r + 1)}^{'}}{{(2 r + 1)}^{2}}

= \frac{2 r (2 r + 1) - 2 r^{2}}{{(2 r + 1)}^{2}}

= \frac{2 r^{2} + 2 r}{{(2 r + 1)}^{2}}

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