# Derivatives and Tangent Lines

Not what you're looking for? Search our solutions OR ask your own Custom question.

3. Answer these questions.

a. Find f'(x) where f(x)= 3x4 + 2 -

b. Find the equation of the tangent line at x=1 for the function f(x) from part a.

c. Find for y=2lnx+5x -2log3x

https://brainmass.com/math/derivatives/derivatives-tangent-lines-165592

## SOLUTION This solution is **FREE** courtesy of BrainMass!

Please see the attached file for the complete solution.

Thanks for using BrainMass.

3. Answer these questions.

a. Find f'(x) where f(x)= 3x4 + 2 -

Using the basic formula

b. Find the equation of the tangent line at x=1 for the function f(x) from part a.

The slope of the tangent line is the derivative

So the point is (1, 1).

Therefore, the tangent line has slope 74/3 and passes through point (1, 1).

The line equation is

c. Find for y=2lnx+5x -2log3x

Â© BrainMass Inc. brainmass.com December 24, 2021, 7:08 pm ad1c9bdddf>https://brainmass.com/math/derivatives/derivatives-tangent-lines-165592