Calculus Examples

Find the Derivative - d/dx -1/x
Step 1
Differentiate using the Product Rule which states that is where and .
Step 2
Differentiate.
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Step 2.1
Rewrite as .
Step 2.2
Differentiate using the Power Rule which states that is where .
Step 2.3
Multiply.
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Step 2.3.1
Multiply by .
Step 2.3.2
Multiply by .
Step 2.4
Since is constant with respect to , the derivative of with respect to is .
Step 2.5
Simplify the expression.
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Step 2.5.1
Multiply by .
Step 2.5.2
Add and .
Step 3
Rewrite the expression using the negative exponent rule .