Globokim8

2021-09-19

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

falhiblesw

Skilled2021-09-20Added 97 answers

Find derivative of given function:

$s}^{\prime}\left(t\right){=}^{1}{\left(6{t}^{-2}\right)}^{\prime}+{\left(3{t}^{3}\right)}^{\prime}-{\left(4{t}^{\frac{1}{2}}\right)}^{\prime$

$=}^{2}6\dot{-2{t}^{3}}+3\dot{3}{t}^{2}-4\dot{\frac{1}{2}}{t}^{-\frac{1}{2}$

$=-12{t}^{-3}+9{t}^{2}-2{t}^{-\frac{1}{2}}$

Rules used:

(1) Derivative of sum

(2) Power rule

Rules used:

(1) Derivative of sum

(2) Power rule