menu
bartleby
search
close search
Hit Return to see all results

Find an equation of the tangent line to the given curve at the specified point.4xу 3(3, 1)X9

Question
Find an equation of the tangent line to the given curve at the specified point.
4x
у 3
(3, 1)
X9
help_outline

Image Transcriptionclose

Find an equation of the tangent line to the given curve at the specified point. 4x у 3 (3, 1) X9

fullscreen
check_circleAnswer
Step 1

Obtain the derivative of y as follows.

dy d
dx dxx+9
4x
d
(x+9)(4x)(4.x)(x+9)
dx
(x+9)
(x+9)(4)-(4x)(1)
dx
(x+9)
4x36 4x
(x+9)
36
(x+9)
help_outline

Image Transcriptionclose

dy d dx dxx+9 4x d (x+9)(4x)(4.x)(x+9) dx (x+9) (x+9)(4)-(4x)(1) dx (x+9) 4x36 4x (x+9) 36 (x+9)

fullscreen
Step 2

Obtain the slope m as...

dy
36
Substitute 3 for x in
dx(x+9)
dy
dx
(3+9)
36
36
(12)
36
144
1
Thus, the slope m is 1/4
help_outline

Image Transcriptionclose

dy 36 Substitute 3 for x in dx(x+9) dy dx (3+9) 36 36 (12) 36 144 1 Thus, the slope m is 1/4

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Other

Sorry about that. What wasn’t helpful?