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Thread: Rate related derivative problem.

  1. April 22nd 2008, 09:36 AM #1
    navynukejones
    navynukejones is offline
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    Rate related derivative problem.

    The work W done by an electromagnet varies according to W=36t^3-t^2. Find the power dW/dt at t=1/4s.

    The answer i got was 6.25. All that i did was take the derivative of 36t^3-t^2 and then plugged in (1/4) for the t. Am i correct in doing this????
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  2. April 22nd 2008, 02:09 PM #2
    elizsimca
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    Quote Originally Posted by navynukejones View Post
    The work W done by an electromagnet varies according to W=36t^3-t^2. Find the power dW/dt at t=1/4s.

    The answer i got was 6.25. All that i did was take the derivative of 36t^3-t^2 and then plugged in (1/4) for the t. Am i correct in doing this????
    Looks good:

    \frac{dW}{dt}=108t^2-2t

    =108(\frac{1}{4})^2-2(\frac{1}{4})=6.25
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