Find the Derivative – d/dx y=(sec(2x))/(1+tan(2x))

Math
Differentiate using the Quotient Rule which states that is where and .
Differentiate using the chain rule, which states that is where and .
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To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate.
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Since is constant with respect to , the derivative of with respect to is .
Move to the left of .
Differentiate using the Power Rule which states that is where .
Multiply by .
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 .
Differentiate using the chain rule, which states that is where and .
Tap for more steps…
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Since is constant with respect to , the derivative of with respect to is .
Multiply by .
Differentiate using the Power Rule which states that is where .
Multiply by .
Simplify.
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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 .
Multiply .
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Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Factor out of .
Factor out of .
Reorder and .
Factor out of .
Factor out of .
Factor out of .
Apply pythagorean identity.
Multiply by .
Apply the distributive property.
Multiply by .
Find the Derivative – d/dx y=(sec(2x))/(1+tan(2x))

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