3.2.36 a. Find the derivative function f' for the following function f. b. Find an equation of the line tangent to the graph of f at (a,f(a)) for the given value F(x) = 4x² + 12x + 5, a = - 2 a. The derivative function f'(x) = 8x + 12. b. The equation of the tangent line is y = - 4x – 11.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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X 3.2.36
a. Find the derivative function f' for the following function f.
b. Find an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a.
f(x) = 4x2 + 12x + 5, a = - 2
a. The derivative function f'(x) = 8x + 12.
b. The equation of the tangent line is y = - 4x – 11'.
Transcribed Image Text:X 3.2.36 a. Find the derivative function f' for the following function f. b. Find an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. f(x) = 4x2 + 12x + 5, a = - 2 a. The derivative function f'(x) = 8x + 12. b. The equation of the tangent line is y = - 4x – 11'.
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