Final answer to the problem
$x=\cot\left(y\right)+\cot\left(y\right)\sin\left(y\right)^2$
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Step-by-step Solution
Specify the solving method
1
Combine all terms into a single fraction with $\sin\left(y\right)$ as common denominator
$x=\frac{\cos\left(y\right)+\sin\left(y\right)\cos\left(y\right)\sin\left(y\right)}{\sin\left(y\right)}$
Learn how to solve product rule of differentiation problems step by step online.
$x=\frac{\cos\left(y\right)+\sin\left(y\right)\cos\left(y\right)\sin\left(y\right)}{\sin\left(y\right)}$
Learn how to solve product rule of differentiation problems step by step online. Find the derivative using the product rule x=cos(y)/sin(y)+sin(y)cos(y). Combine all terms into a single fraction with \sin\left(y\right) as common denominator. When multiplying two powers that have the same base (\sin\left(y\right)), you can add the exponents. Simplify the derivative.
Final answer to the problem
$x=\cot\left(y\right)+\cot\left(y\right)\sin\left(y\right)^2$