Final answer to the problem
$\frac{\left(-1-\sin\left(x\right)^2\right)\sin\left(x\right)-2\cos\left(x\right)^2\sin\left(x\right)}{\left(1+\sin\left(x\right)^2\right)^2}$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve problems step by step online. Find the higher order (2) derivative of arctan(sin(x)). Find the (1) derivative. Find the (2) derivative. Simplifying.
Final answer to the problem
$\frac{\left(-1-\sin\left(x\right)^2\right)\sin\left(x\right)-2\cos\left(x\right)^2\sin\left(x\right)}{\left(1+\sin\left(x\right)^2\right)^2}$