Find The Derivative - D/dx G(x)=(1+2x)/(3-4x) | Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Derivative - d/dx g(x)=(1+2x)/(3-4x) Step 1Differentiate using the Quotient Rule which states that is where and .Step 2Differentiate.Tap for more steps...Step 2.1By the Sum Rule, the derivative of with respect to is .Step 2.2Since is constant with respect to , the derivative of with respect to is .Step 2.3Add and .Step 2.4Since is constant with respect to , the derivative of with respect to is .Step 2.5Move to the left of .Step 2.6Differentiate using the Power Rule which states that is where .Step 2.7Multiply by .Step 2.8By the Sum Rule, the derivative of with respect to is .Step 2.9Since is constant with respect to , the derivative of with respect to is .Step 2.10Add and .Step 2.11Since is constant with respect to , the derivative of with respect to is .Step 2.12Multiply by .Step 2.13Differentiate using the Power Rule which states that is where .Step 2.14Multiply by .Step 3Simplify.Tap for more steps...Step 3.1Apply the distributive property.Step 3.2Apply the distributive property.Step 3.3Simplify the numerator.Tap for more steps...Step 3.3.1Simplify each term.Tap for more steps...Step 3.3.1.1Multiply by .Step 3.3.1.2Multiply by .Step 3.3.1.3Multiply by .Step 3.3.1.4Multiply by .Step 3.3.2Combine the opposite terms in .Tap for more steps...Step 3.3.2.1Add and .Step 3.3.2.2Add and .Step 3.3.3Add and .Step 3.4Reorder terms.

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