Final Answer
Step-by-step Solution
Specify the solving method
The derivative of a sum of two or more functions is the sum of the derivatives of each function
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dx}\left(\frac{\cos\left(y\right)}{\sin\left(y\right)}\right)+\frac{d}{dx}\left(\sin\left(y\right)\cos\left(y\right)\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of x=cos(y)/sin(y)+sin(y)cos(y). The derivative of a sum of two or more functions is the sum of the derivatives of each function. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\sin\left(y\right) and g=\cos\left(y\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(y\right)), you can add the exponents.