Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,915 users

Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0).

0 votes
Find an equation of the tangent line to the graph of the logarithmic function at the point (1, 0).

y = ln x^4
asked Jan 27, 2015 in CALCULUS by anonymous
edited Jan 28, 2015 by bradely

1 Answer

0 votes

Step 1 :

The function is image and the point is

Rewrite the expression :

image

Differentiate y  with respect to x.

image

The slope(m) of a tangent line at the point :

Substitute in

image

Step 2 :

Point-slope form of a line equation .

Substitute and the point in above equation.

The equation of a tangent line is

Solution :

The equation of a tangent line is

answered Jan 28, 2015 by Thomas Apprentice

Related questions

...