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Homework Statement
Consider the following curve.
y = 4 + 4x2 - 2x3.
(a) Find the slope of the tangent to the curve at the point where x = a.
Homework Equations
m=y(a+h) - y(a)/h
The Attempt at a Solution
1. m=y(a+h) - y(a)/h = -a^3-a^2+3ah+h^2-4
2. 6a^2
3. -6a^2+8a
I know the derivative is equal to the slope, but I don't know how to work that into this specific equation and point.
Thank you for any and all help.
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