1. ## Differentiation question

Hi
I am stuck on this question:

If s(t) = √t^3 find s'(4)

2. Originally Posted by srose
Hi
I am stuck on this question:

If s(t) = √t^3 find s'(4)

$\displaystyle s(t) = t^{\frac32}$
The general form: $\displaystyle \frac{\mathrm{d}(x^a)}{\mathrm{d}x} = ax^{a-1}$
$\displaystyle s'(t) = \frac32 t^{\frac12}$
$\displaystyle \therefore s'(4) = \frac32 (4)^{\frac12}= ...$