Find The Derivative - D/dx Natural Log Of Xe^(-2x) | Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Derivative - d/dx natural log of xe^(-2x) Step 1Differentiate using the chain rule, which states that is where and .Tap for more steps...Step 1.1To apply the Chain Rule, set as .Step 1.2The derivative of with respect to is .Step 1.3Replace all occurrences of with .Step 2Differentiate using the Product Rule which states that is where and .Step 3Differentiate using the chain rule, which states that is where and .Tap for more steps...Step 3.1To apply the Chain Rule, set as .Step 3.2Differentiate using the Exponential Rule which states that is where =.Step 3.3Replace all occurrences of with .Step 4Differentiate.Tap for more steps...Step 4.1Since is constant with respect to , the derivative of with respect to is .Step 4.2Differentiate using the Power Rule which states that is where .Step 4.3Simplify the expression.Tap for more steps...Step 4.3.1Multiply by .Step 4.3.2Move to the left of .Step 4.4Differentiate using the Power Rule which states that is where .Step 4.5Multiply by .Step 5Simplify.Tap for more steps...Step 5.1Apply the distributive property.Step 5.2Combine terms.Tap for more steps...Step 5.2.1Combine and .Step 5.2.2Combine and .Step 5.2.3Combine and .Step 5.2.4Cancel the common factor of .Tap for more steps...Step 5.2.4.1Cancel the common factor.Step 5.2.4.2Rewrite the expression.Step 5.2.5Cancel the common factor of .Tap for more steps...Step 5.2.5.1Cancel the common factor.Step 5.2.5.2Divide by .Step 5.2.6Combine and .Step 5.2.7Cancel the common factor of .Tap for more steps...Step 5.2.7.1Cancel the common factor.Step 5.2.7.2Rewrite the expression.Step 5.3Reorder terms.

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