Find the derivative of $\frac{1}{2}\tan\left(x\right)\sin\left(2x\right)$

Got another answer? Verify it here!

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(\frac{\tan\left(x\right)\sin\left(2x\right)}{2}\right)$

Learn how to solve differential calculus problems step by step online. Find the derivative of 1/2tan(x)sin(2x). Simplify the derivative by applying the properties of logarithms. The derivative of a function multiplied by a constant (\frac{1}{2}) is equal to the constant times the derivative of the function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\tan\left(x\right) and g=\sin\left(2x\right). 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)}.