Suppose f(x) = 8 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = −1. - f (x²)). -2x - h Slope = lim h→0 f(x +h)-f(x) h = lim h→0 (b) Find an equation for the tangent of to the curve y = f(x) at the point (-1,7). Tangent line: y = 2x+9 (c) On a piece of paper, sketch the curve y = f(x) and the tangent line together.

Suppose f(x) = 8 - x². (a) Find the slope of the tangent line to the graph y = f(x) when x = −1. - f (x²)). -2x - h Slope = lim h→0 f(x +h)-f(x) h = lim h→0 (b) Find an equation for the tangent of to the curve y = f(x) at the point (-1,7). Tangent line: y = 2x+9 (c) On a piece of paper, sketch the curve y = f(x) and the tangent line together.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...

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