Question

Find the derivative of the function.
f(t) = t^(3/2)*log(base8)(sqrt[t+2])

f'(t)= ?????

Answer 1

start by converting base_8 to base_e

Answer 2

\.( t^{\frac{3}{2}}*\log_8(\sqrt{t+2})\) without the . gives you this
\( t^{\frac{3}{2}}*\log_8(\sqrt{t+2})\)

Answer 3

\[\log_b x = \frac{\ln x}{\ln b}\]

Answer 4

So what about the derivative?