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January 8th, 2014, 11:20 PM   #1
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Gradient function

A curve with gradient function 4x-(4/(x^2)) has a turning point at (h,12).

Find the value of h

Find the equation of the curve
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January 9th, 2014, 12:10 AM   #2
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Re: Gradient function



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Solving the above two equations simultaneously reveals all remaining info about your curve (namely the value of ).
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January 9th, 2014, 05:07 AM   #3
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Re: Gradient function

How to solve the simultaneous equation?
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January 9th, 2014, 06:23 AM   #4
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Re: Gradient function

Equation (2) has only one possible real solution which is . Plug this value into equation (1) and then solve for .
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January 9th, 2014, 06:29 AM   #5
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Re: Gradient function

Can you do the step-by step for solving the equation 2? I haven't learn to solve the equation which has a power to -2.
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January 9th, 2014, 10:55 AM   #6
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Re: Gradient function

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On the first implication, I just multiplied through by to clear the negative power, which is what you should always think about doing first in polynomial equations with negative powers. Observe that (why?)
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