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Math Help - Finding the turning point

  1. #1
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    Finding the turning point

    Hi
    I'm having trouble finding the turning point(max & min) of this equation and also the stationary points and x-intercepts.

    y=9(x-1)^2-(x-1)^4

    P.S
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  2. #2
    Super Member Bacterius's Avatar
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    The x-intercepts are the points where the curve hits the x-axis. Do you mean you have trouble solving f(x) = 0 for x ?

    Think about using the derivative. When the derivative is 0 in a point, the function is very likely to turn round at this point (although sometimes it doesn't).
    Steps :
    - get the derivative f'(x) of your function f(x)
    - solve for x with f'(x) = 0
    - ensure each point found is indeed a turning point (you should know how to do this last step)

    Does it make sense ?
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  3. #3
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    yeh it makes sense, thanks for the help
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