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

Quote:

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Originally Posted by Mr.life

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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Hello
y'(x) = y²(x) (6-2x) for all real x
You can differentiate this expression in order to get y"(x)