# Math Help - Can someone help me step by step with finding derivatives?

1. ## Can someone help me step by step with finding derivatives?

I missed my last math lecture and now im reallllly confused. And this hw is due tonight. The question is:
Suppose u(t)=w(t^2+5) and w'(6)=8. Find u'(1).
Honestly this seems like an entirely different language to me

2. $u(t) = w(t^2+5)$

take the derivative of both functions ... note the use of the chain rule for the composite function w

$u'(t) = w'(t^2+5) \cdot 2t$

$u'(1) = w'(6) \cdot 2(1)$

$u'(1) = 8 \cdot 2 = 16$