Calculus Examples

Evaluate the Derivative at x=3
,
Step 1
Since is constant with respect to , the derivative of with respect to is .
Step 2
Differentiate using the Product Rule which states that is where and .
Step 3
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 .
Add and .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Simplify the expression.
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Multiply by .
Move to the left of .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Simplify by adding terms.
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Multiply by .
Subtract from .
Step 4
Simplify.
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Apply the distributive property.
Combine terms.
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Multiply by .
Multiply by .
Step 5
Evaluate the derivative at .
Step 6
Simplify.
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Multiply by .
Add and .
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