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
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
$\displaystyle u(t) = w(t^2+5)$
take the derivative of both functions ... note the use of the chain rule for the composite function w
$\displaystyle u'(t) = w'(t^2+5) \cdot 2t$
$\displaystyle u'(1) = w'(6) \cdot 2(1)$
$\displaystyle u'(1) = 8 \cdot 2 = 16$