Find the Derivative f(x)=(sec(x))/(1+sec(x))

Math
Differentiate using the Quotient Rule which states that is where and .
The derivative of with respect to is .
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 .
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Simplify.
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Apply the distributive property.
Apply the distributive property.
Simplify the numerator.
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Simplify each term.
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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 .
Combine the opposite terms in .
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Subtract from .
Add and .
Find the Derivative f(x)=(sec(x))/(1+sec(x))

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