January 8th, 2014, 11:20 PM  #1 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  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 
January 9th, 2014, 12:10 AM  #2 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Gradient function . Solving the above two equations simultaneously reveals all remaining info about your curve (namely the value of ). 
January 9th, 2014, 05:07 AM  #3 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Re: Gradient function
How to solve the simultaneous equation?

January 9th, 2014, 06:23 AM  #4 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Gradient function
Equation (2) has only one possible real solution which is . Plug this value into equation (1) and then solve for .

January 9th, 2014, 06:29 AM  #5 
Senior Member Joined: Sep 2013 From: Earth Posts: 827 Thanks: 36  Re: Gradient function
Can you do the stepby step for solving the equation 2? I haven't learn to solve the equation which has a power to 2.

January 9th, 2014, 10:55 AM  #6 
Senior Member Joined: Dec 2012 Posts: 372 Thanks: 2  Re: Gradient function . 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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