Question
Asked Mar 2, 2020
7 views
Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal.
f(x) = In (1-x² + 2x*); x=1
help_outline

Image Transcriptionclose

Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x. Find the value(s) of x where the tangent line is horizontal. f(x) = In (1-x² + 2x*); x=1

fullscreen
check_circle

Expert Answer

Step 1

We find f'(x) using the chain rule

Calculus homework question answer, step 1, image 1

Step 2

At x=1,

Calculus homework question answer, step 2, image 1

We use the point slope formula to find the equation of the tangent 

Calculus homework question answer, step 2, image 2

Answer: Tangen : y=3x-3+ln2

 

...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in