Find the Derivative – d/dx y=(1+csc(x))/(1-csc(x))

Math
Differentiate using the Quotient Rule which states that is where and .
Differentiate.
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By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Add and .
The derivative of with respect to is .
Differentiate.
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Move to the left of .
Rewrite as .
By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Add and .
Since is constant with respect to , the derivative of with respect to is .
Multiply.
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Multiply by .
Multiply by .
The derivative of with respect to is .
Simplify the expression.
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Move to the left of .
Rewrite as .
Simplify.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify the numerator.
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Simplify each term.
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Multiply by .
Rewrite as .
Multiply .
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Multiply by .
Multiply by .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Rewrite as .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Combine the opposite terms in .
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Subtract from .
Add and .
Subtract from .
Move the negative in front of the fraction.
Find the Derivative – d/dx y=(1+csc(x))/(1-csc(x))

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