Final answer to the problem
$44\cos\left(x\right)^2-44\sin\left(x\right)^2$
Got another answer? Verify it here!
Step-by-step Solution
Learn how to solve product rule of differentiation problems step by step online. Find the derivative of 44sin(x)cos(x). The derivative of a function multiplied by a constant 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=\sin\left(x\right) and g=\cos\left(x\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)}. When multiplying two powers that have the same base (\cos\left(x\right)), you can add the exponents.
Final answer to the problem
$44\cos\left(x\right)^2-44\sin\left(x\right)^2$
