# 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.
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.
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.
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.
Use the distributive law.
Apply the distributive property.
Clarify the numerator.
Clarify each term.
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Clarify each term.
Multiply by by adding the exponents.
Put .
Multiply by .
Multiply by by adding the exponents.
Move .
Apply the power rule to Add exponents.
Multiply by by adding the exponents.
Move .
Use the power rule to Add exponents.
Simplify each term.
Multiply by .
Multiply .
Multiply by .
Multiply by .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Simplify each term.
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Move .
Use the power rule to combine exponents.
Combine the opposite terms in .