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Find the equation of the tangent line (Can someone check my work?)

shamieh

Active member
Sep 13, 2013
539
Find the equation of the tangent line to g(x) = arctan(x) + ln(x) @ x = 1

\(\displaystyle y - \frac{\pi}{4} = \frac{3}{2}(x - 1)\)
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Looks good to me. :D
 

Deveno

Well-known member
MHB Math Scholar
Feb 15, 2012
1,967
Find the equation of the tangent line to g(x) = arctan(x) + ln(x) @ x = 1

\(\displaystyle y - \frac{\pi}{4} = \frac{3}{2}(x - 1)\)
Your answer is indeed correct, but as no actual work is shown, we cannot verify that you didn't just happen to "guess" the right answer (although you probably didn't).

Things a teacher might want to see included in your answer:

1) What is g'(x)?

2) What is the formula for the tangent line to g(x) at x = a?

The correct two answers to the questions I have listed above are actually more important than "the final answer".
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Your answer is indeed correct, but as no actual work is shown...
This is an excellent point. If you answer happened to be incorrect, we would not have been able to address where you made any errors.