Suppose f(x) = 11-x^{2} .

(a) Find the slope of the tangent line to the graphy = f(x) when x = -1 .

Slope =\displaystyle
\lim_{h \to 0} \Bigg( \frac{f(x+h)-f(x)}{h} \Bigg)
=
\lim_{h \to 0}
\Bigg(
\Bigg) =
.

(b) Find an equation for the tangent of to the curvey = f(x) at the point (-1, 10) .

Tangent line:y =

(c) On a piece of paper, sketch the curvey = f(x)
and the tangent line together.

(a) Find the slope of the tangent line to the graph

Slope =

(b) Find an equation for the tangent of to the curve

Tangent line:

(c) On a piece of paper, sketch the curve

You can earn partial credit on this problem.