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Math Help - Calc questions

  1. #1
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    Calc questions

    1. F(x) = (34-.0612p)p^(-0.658) Find F'(x)

    I want to apply the chain rule but I can't see how to form F(x) because of those two p's.

    2. It takes a stone 3 seconds to hit the ground when dropped from the top of a building. How high is the building and what is the stone's velocity upon impact?

    Am I dense? Can you solve this problem given only this?
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  2. #2
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    Quote Originally Posted by coach2uf View Post
    1. F(x) = (34-.0612p)p^(-0.658) Find F'(x)

    I want to apply the chain rule but I can't see how to form F(x) because of those two p's.

    2. It takes a stone 3 seconds to hit the ground when dropped from the top of a building. How high is the building and what is the stone's velocity upon impact?

    Am I dense? Can you solve this problem given only this?
    try product rule on the first.

    2nd one is not going to be an exact answer from what I can tell. It will be something theoretical, like the height is 2h\t or whatever. I may be wrong though. Seems like a physics question I had a while ago.

    sorry cant help to much.
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  3. #3
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    Quote Originally Posted by coach2uf View Post
    1. F(x) = (34-.0612p)p^(-0.658) Find F'(x)

    I want to apply the chain rule but I can't see how to form F(x) because of those two p's.
    If you expand the function, you wont need the chain rule:

    F(x) = (34 - 0.0612p)p^{ - 0.658}  = 34p^{ - 0.658}  - 0.0612p^{1 + ( - 0.658)}  = 34p^{ - 0.658}  - 0.0612p^{0.342}

    Can you find the derivative now?
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