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

Dillard

Answered question

2021-05-11

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

f (t) = 2 t e^{t} - \frac{1}{\sqrt{t}}

Answer & Explanation

krolaniaN

Skilled2021-05-12Added 86 answers

f^{'} (t) = {(2 t e^{t} - t^{- \frac{1}{2}})}^{'}

= {(2 t e^{t})}^{'} - {(t^{\frac{1}{2}})}^{'}

= 2 t {(e^{t})}^{'} + {(2 t)}^{'} e^{t} + \frac{1}{2} t^{\frac{3}{2}}

= 2 (t + 1) e^{t} + \frac{1}{2 \sqrt{t^{3}}}

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