Find an equation of the tangent line to the curve y = 42³ + +9 at x = -2. Enter your equation inthe form of y = ax + b.PWbaa|a|ksin (a)B

The equation of the tangent line is given by:Where

Answered: Find an equation of the tangent line to…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

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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Question

Find an equation of the tangent line to the curve y = 42³ + +9 at x = -2. Enter your equation in
the form of y = ax + b.
PW
b
a
a
|a|
k
sin (a)
B

Expert Solution

Step 1: Formula

The equation of the tangent line is given by:

$y minus y subscript 0 equals m open parentheses x minus x subscript 0 close parentheses$

Where $m equals y apostrophe subscript x equals x subscript 0 end subscript$

$fraction numerator d over denominator d x end fraction open parentheses x to the power of n close parentheses equals n x to the power of n minus 1 end exponent fraction numerator d over denominator d x end fraction open parentheses x close parentheses equals 1 fraction numerator d over denominator d x end fraction open parentheses c close parentheses equals 0 comma space space space space space space space c minus c o n s tan t$