(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider the following curve.

y = 4 + 4x2 - 2x3.

(a) Find the slope of the tangent to the curve at the point where x = a.

2. Relevant equations

m=y(a+h) - y(a)/h

3. 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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# (a) Find the slope of the tangent to the curve at the point where x = a.

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