Final answer to the problem
$\frac{8\cos\left(8x\right)}{2-\cos\left(8x\right)^2}$
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Step-by-step Solution
Learn how to solve inverse trigonometric functions differentiation problems step by step online. Find the derivative of arctan(sin(8x)). Taking the derivative of arctangent. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1.
Final answer to the problem
$\frac{8\cos\left(8x\right)}{2-\cos\left(8x\right)^2}$
