Find the equation of the tangent line to the function at the indicated value of x. F(x) = 4 cot(x), x = 3 y = Use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. O JEPILEPL 15 10 5 20 15 10 119 7 5 3/ x/3x 57/7x 9/11 A 4 4 A4 A 444 44 4 -5 -10 -15 -3⁰ 119 7 5 3 -10k -15 -20 4 x 5xx 9x1x 4 4 119 7 5 3 20 15 10 5 -10 -15 -20 4 Sxx 9x1x 4 4 X O 20 15 10 11 9x 9x 7 5x 3 A4 A4 A -5 -10 -15 -20 3x57x 9/11 X 4 4

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 72CR
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Question
Find the equation of the tangent line to the function at the indicated value of x.
3π
4
y =
f(x) = 4 cot(x), x =
Use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct.
O
11 9 7 5 3
4 A
4 4
y
20
15
10
A -5
-10
-15
3x 57 7x 97117 X
4
11+97 775 3л
4 14
V
y
15
10
5
-10-
-15
-20
4
5 x 91
4
X
O
20
15
10
5
119 7 5 3
4 44 4454
-10
-15
-20
2
31 5луп 97 1 п
4
X
20
15
10-
11 9 7 5 3
R/357x 9/11x
A 4
4 A-57
4
TEN
-15
-20
X
Transcribed Image Text:Find the equation of the tangent line to the function at the indicated value of x. 3π 4 y = f(x) = 4 cot(x), x = Use a calculator to graph both the function and the tangent line to ensure the equation for the tangent line is correct. O 11 9 7 5 3 4 A 4 4 y 20 15 10 A -5 -10 -15 3x 57 7x 97117 X 4 11+97 775 3л 4 14 V y 15 10 5 -10- -15 -20 4 5 x 91 4 X O 20 15 10 5 119 7 5 3 4 44 4454 -10 -15 -20 2 31 5луп 97 1 п 4 X 20 15 10- 11 9 7 5 3 R/357x 9/11x A 4 4 A-57 4 TEN -15 -20 X
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