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Math Help - Differentiating y(x)

  1. #1
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    Differentiating y(x)

    hi guys can you help me this please:

    Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere. For what value of y is the rate of change of y^5 with respect to x eighty times the rate of change of y with respect to x?

    This question is under a chapter that deals with Chain Rule, if that helps.

    I thought it might be something like this:
    5y^4=80\frac{dy}{dx }
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  2. #2
    Senior Member abhishekkgp's Avatar
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    Quote Originally Posted by RezMan View Post
    hi guys can you help me this please:

    Suppose y=f(x) is a curve that always lies above the x-axis and never has a horizontal tangent, where f is differentiable everywhere. For what value of y is the rate of change of y^5 with respect to x eighty times the rate of change of y with respect to x?

    This question is under a chapter that deals with Chain Rule, if that helps.

    I thought it might be something like this:
    5y^4=80\frac{dy}{dx }
    it should be 5y^4 \frac{dy}{dx}=80\frac{dy}{dx }
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