Calculus Examples

Find the derivative.
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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 .
Add and .
Divide each term by and simplify.
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Divide each term in by .
Reduce the expression by cancelling the common factors.
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Cancel the common factor.
Divide by .
Divide by .
Substitute the values of which cause the derivative to be into the original function.
Evaluate.
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Simplify each term.
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Remove parentheses around .
Raising to any positive power yields .
Add and .
Find the domain of the derivative.
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The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Since there are no values of where the derivative is undefined, there are no additional critical points.
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