Calculus Examples

Find the Derivative Using Chain Rule - d/dx y=x natural log of x
Step 1
This derivative could not be completed using the chain rule. Mathway will use another method.
Step 2
Differentiate using the Product Rule which states that is where and .
Step 3
The derivative of with respect to is .
Step 4
Differentiate using the Power Rule.
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Step 4.1
Combine and .
Step 4.2
Cancel the common factor of .
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Step 4.2.1
Cancel the common factor.
Step 4.2.2
Rewrite the expression.
Step 4.3
Differentiate using the Power Rule which states that is where .
Step 4.4
Multiply by .