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Globokim8

Answered question

2021-09-19

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

s^{'} (t) =^{1} {(6 t^{- 2})}^{'} + {(3 t^{3})}^{'} - {(4 t^{\frac{1}{2}})}^{'}

Answer & Explanation

falhiblesw

Skilled2021-09-20Added 97 answers

Find derivative of given function:

s^{'} (t) =^{1} {(6 t^{- 2})}^{'} + {(3 t^{3})}^{'} - {(4 t^{\frac{1}{2}})}^{'}

=^{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

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