2Let f(x) = -x+ 3x.Find the derivative f'of f by using the definition of the derivative. Show your work by completing the four-step process.(a)(Simplify your answers completely for each step.)Step 1:f(x + h) =(Expand your answer completely.)Step 2:f(x + h) – f(x) =(Factor your answer completely.)f(x + h) – f(x)Step 3:hf(x + h) – f(x)Step 4:f' (x) = limh -0(b)Find an equation of the tangent line to the graph of f at the point (1, 2). Give your answer in the slope-intercept form.

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Let f(x) = -x? + 3x. (a) Find the derivative f' of f by using the definition of the derivative. Show your work by completing the four-step process. (Simplify your answers completely for each step.) Step 1: (x + h) = (Expand your answer completely.) Step 2: f(x + h) – f(x) = (Factor your answer completely.) f(x + h) – f(x) Step 3: Step 4:f' (x) = lim x + h) – f(x) h-0 (b) Find an equation of the tangent line to the graph of f at the point (1, 2). Give your answer in the slope-intercept form.

Let f(x) = -x? + 3x. (a) Find the derivative f' of f by using the definition of the derivative. Show your work by completing the four-step process. (Simplify your answers completely for each step.) Step 1: (x + h) = (Expand your answer completely.) Step 2: f(x + h) – f(x) = (Factor your answer completely.) f(x + h) – f(x) Step 3: Step 4:f' (x) = lim x + h) – f(x) h-0 (b) Find an equation of the tangent line to the graph of f at the point (1, 2). Give your answer in the slope-intercept form.

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.

Chapter4: Calculating The Derivative

Section4.CR: Chapter 4 Review

Problem 5CR: Determine whether each of the following statements is true or false, and explain why. The chain rule...

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