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

  1. #1
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    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
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  2. #2
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    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
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