Asked by Lauren
use implicit differentiation to show: d/dx(tan^-1x)=1/(x^2+1)
Answers
Answered by
Steve
y = arctan(x)
tan(y) = x
sec^2(y) y' = 1
y' = 1/sec^2(y) = 1/(1+tan^2(y)) = 1/(1+x^2)
tan(y) = x
sec^2(y) y' = 1
y' = 1/sec^2(y) = 1/(1+tan^2(y)) = 1/(1+x^2)
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.