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 :(

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- Oct 8th 2008, 11:14 AMjemadd2Can 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 :( - Oct 8th 2008, 03:11 PMskeeter
$\displaystyle u(t) = w(t^2+5)$

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

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

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

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