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Math Help - a derivative word problem

  1. #1
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    a derivative word problem

    the function f is differentiable for all real numbers. The point (3, 1/4) is on the graph of y=f(x) and the slope at each point (x,y) on the graph is given by dy/dx=y^2 (6-2x)
    Find d^2y/dx^2 and evaluate it at the point (3, 1/4)

    please explain to me how to do it
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  2. #2
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    Quote Originally Posted by Mr.life View Post
    the function f is differentiable for all real numbers. The point (3, 1/4) is on the graph of y=f(x) and the slope at each point (x,y) on the graph is given by dy/dx=y^2 (6-2x)
    Find d^2y/dx^2 and evaluate it at the point (3, 1/4)

    please explain to me how to do it
    Hello
    y'(x) = y(x) (6-2x) for all real x
    You can differentiate this expression in order to get y"(x)
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