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1. Let f(x) = 3x² - 5x and let a = -1. 4 a) Find the derivative of f(a) using the limit definition lim f(x)-f(a) x-a x-a b) Find the tangent line at (a, f(a)). c) Graph the function and the tangent line in Desmos.

1. Let f(x) = 3x² - 5x and let a = -1. 4 a) Find the derivative of f(a) using the limit definition lim f(x)-f(a) x-a x-a b) Find the tangent line at (a, f(a)). c) Graph the function and the tangent line in Desmos.

Calculus For The Life Sciences
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
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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1. Let f(x) = 3x² - 5x and let a = -1. 4 a) Find the derivative of f(a) using the limit definition lim x-a b) Find the tangent line at (a, f(a)). c) Graph the function and the tangent line in Desmos. f(x)=f(a) x-a
Transcribed Image Text:1. Let f(x) = 3x² - 5x and let a = -1. 4 a) Find the derivative of f(a) using the limit definition lim x-a b) Find the tangent line at (a, f(a)). c) Graph the function and the tangent line in Desmos. f(x)=f(a) x-a
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