# Math Help - Differentiation question

1. ## Differentiation question

Hi
I am stuck on this question:

If s(t) = √t^3 find s'(4)

Can anyone please help?

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

If s(t) = √t^3 find s'(4)

Can anyone please help?
$s(t) = t^{\frac32}$

The general form: $\frac{\mathrm{d}(x^a)}{\mathrm{d}x} = ax^{a-1}$

$s'(t) = \frac32 t^{\frac12}$

$\therefore s'(4) = \frac32 (4)^{\frac12}= ...$