How do you differentiate sin(arctan x)?
2 Answers
Sep 23, 2016
Explanation:
Oct 5, 2016
Explanation:
Another method:
If we draw a right triangle with an angle
We can now differentiate using the quotient rule
= (sqrt(x^2+1) - x^2/sqrt(x^2+1))/(x^2+1)
=(x^2+1-x^2)/((x^2+1)sqrt(x^2+1))
(x^2+1)^(-3/2)
Note that this matches the other answer, as using the triangle, we can also see that