Sunday, December 27, 2009

How do you find the gradient of a Tangent?

I know how to find the gradient for any given point in any given equation but how would I go about finding the coorrdinates of the points on the graph: y=x^3 where the gradient is 12?How do you find the gradient of a Tangent?
dy / dx = 3x^2





3x^2 = 12





x^2 = 4





x = +/-2





Plug in the x-coordinate into the function and find your y-coordinate.

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