Asked by josh

a.Find the slope of the tangent line to the curve y=9-2x^2 at the point (2,1)

b.Find an equation of this tangent line.

Answers

Answered by Steve
as you know, the slope of the tangent line is just the derivative. So,

y'(x) = -4x
giving us
y'(2) = -8

and now we have a point and a slope, so the line is

y-1 = -8(x-2)
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