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Calculus Examples
Step 1
Differentiate using the Quotient Rule which states that is where and .
Step 2
Differentiate using the Exponential Rule which states that is where =.
Step 3
Step 3.1
By the Sum Rule, the derivative of with respect to is .
Step 3.2
Since is constant with respect to , the derivative of with respect to is .
Step 3.3
Add and .
Step 4
Differentiate using the Exponential Rule which states that is where =.
Step 5
Step 5.1
Move .
Step 5.2
Use the power rule to combine exponents.
Step 5.3
Add and .
Step 6
Step 6.1
Apply the distributive property.
Step 6.2
Simplify the numerator.
Step 6.2.1
Multiply by by adding the exponents.
Step 6.2.1.1
Use the power rule to combine exponents.
Step 6.2.1.2
Add and .
Step 6.2.2
Combine the opposite terms in .
Step 6.2.2.1
Subtract from .
Step 6.2.2.2
Add and .