menu
bartleby
search
close search
Hit Return to see all results

find the equation of the tangent line for the given f(x) at the given pointf(x)=(1+1/x)4, (1,16)

Question

find the equation of the tangent line for the given f(x) at the given point

f(x)=(1+1/x)4, (1,16)

check_circleAnswer
Step 1

Consider the given function:

ло-р-3)
(x)1+
help_outline

Image Transcriptionclose

ло-р-3) (x)1+

fullscreen
Step 2

Now differentiate the given function which gives the slope:

3
-1
f'(x)= m= 41+
х
-4
f'(l) m =
1+
=-32
(1)
help_outline

Image Transcriptionclose

3 -1 f'(x)= m= 41+ х -4 f'(l) m = 1+ =-32 (1)

fullscreen
Step 3

Now write the equati...

ymxc
since y 16@x = 1 therefore,
16 -32 c,c = 48
help_outline

Image Transcriptionclose

ymxc since y 16@x = 1 therefore, 16 -32 c,c = 48

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

Sorry about that. What wasn’t helpful?