Question

Calcule a derivada da função: S(t) = (1+t)√t

Answer 1

Resposta:

$\frac{1+3t}{2\sqrt{t}}$

Explicação passo a passo:

$\frac{d}{dt}\left(\left(1+t\right)\sqrt{t}\right)$

$=\frac{d}{dt}\left(1+t\right)\sqrt{t}+\frac{d}{dt}\left(\sqrt{t}\right)\left(1+t\right)$

$=1\cdot \sqrt{t}+\frac{1}{2\sqrt{t}}\left(1+t\right)$

$=\frac{1+3t}{2\sqrt{t}}$