Find dy/dx y=(csc(x)+cot(x))^-1

Math
Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
By the Sum Rule, the derivative of with respect to is .
The derivative of with respect to is .
The derivative of with respect to is .
Reform the equation by setting the left side equal to the right side.
Simplify.
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Rewrite the expression using the negative exponent rule .
Apply the distributive property.
Multiply .
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Multiply by .
Multiply by .
Combine and .
Combine and .
Multiply .
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Multiply by .
Multiply by .
Combine and .
Replace with .
Find dy/dx y=(csc(x)+cot(x))^-1

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