Find the Derivative minus d First, divide dx (three minus xe to the power of x) divide(x plus e to the power of x)

Find the Derivative - d/dx (3-xe^x)/(x+e^x)
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 .
Sum and .
Since is constant with respect to , the derivative of with respect to is .
Clarify the expression.
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Move to the left of .
Should be rewritten as .
Differentiate using the Product Rule which states that is where and .
Differentiate using the Exponential Rule which states that is where =.
Differentiate.
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Differentiate using the Power Rule which states that is where .
First, multiply by .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Differentiate using the Exponential Rule which states that is where =.
Simplify.
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Use the distributive law.
Apply the distributive property.
Clarify the numerator.
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Clarify each term.
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Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Clarify each term.
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Multiply by by adding the exponents.
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Put .
Multiply by .
Multiply by by adding the exponents.
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Move .
Apply the power rule to Add exponents.
Add and .
Multiply by by adding the exponents.
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Move .
Use the power rule to Add exponents.
Add and .
Simplify each term.
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Multiply by .
Multiply .
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Multiply by .
Multiply by .
Expand using the FOIL Method.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
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Multiply by .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Combine the opposite terms in .
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Add and .
Add and .
Shift the factors in the terms and .
Add and .
Add and .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Factor out of .
Factor out of .
Factor out of .
Rewrite as .
Put the negative in front of the fraction.
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