Find The Derivative F(x) = Natural Log Of X/(x^2-1) | Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Derivative - d/d@VAR f(x) = natural log of x/(x^2-1) 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 2Multiply by the reciprocal of the fraction to divide by .Step 3Multiply by .Step 4Differentiate using the Quotient Rule which states that is where and .Step 5Differentiate.Tap for more steps...Step 5.1Differentiate using the Power Rule which states that is where .Step 5.2Multiply by .Step 5.3By the Sum Rule, the derivative of with respect to is .Step 5.4Differentiate using the Power Rule which states that is where .Step 5.5Since is constant with respect to , the derivative of with respect to is .Step 5.6Simplify the expression.Tap for more steps...Step 5.6.1Add and .Step 5.6.2Multiply by .Step 6Raise to the power of .Step 7Raise to the power of .Step 8Use the power rule to combine exponents.Step 9Add and .Step 10Subtract from .Step 11Multiply by .Step 12Cancel the common factors.Tap for more steps...Step 12.1Factor out of .Step 12.2Cancel the common factor.Step 12.3Rewrite the expression.Step 13Simplify.Tap for more steps...Step 13.1Apply the distributive property.Step 13.2Combine terms.Tap for more steps...Step 13.2.1Multiply by by adding the exponents.Tap for more steps...Step 13.2.1.1Multiply by .Tap for more steps...Step 13.2.1.1.1Raise to the power of .Step 13.2.1.1.2Use the power rule to combine exponents.Step 13.2.1.2Add and .Step 13.2.2Move to the left of .Step 13.2.3Rewrite as .

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