Calculus Examples

Find the Derivative Using Quotient Rule - d/dx
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 .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Add and to get .
Multiply by to get .
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
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Add and to get .
Multiply by to get .
Simplify.
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Apply the distributive property.
Apply the distributive property.
Raise to the power of .
Raise to the power of .
Use the power rule to combine exponents.
Add and to get .
Multiply by to get .
Remove parentheses.
Subtract from to get .
Reorder terms.
Factor out of .
Factor out of .
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Rewrite as .
Move .
Multiply by to get .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Move the negative in front of the fraction.
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