Find The Derivative F(x)=3x^7(x^5-5x) - Mathway

Enter a problem... Calculus Examples Popular Problems Calculus Find the Derivative - d/d@VAR f(x)=3x^7(x^5-5x) Step 1Since is constant with respect to , the derivative of with respect to is .Step 2Differentiate using the Product Rule which states that is where and .Step 3Differentiate.Tap for more steps...Step 3.1By the Sum Rule, the derivative of with respect to is .Step 3.2Differentiate using the Power Rule which states that is where .Step 3.3Since is constant with respect to , the derivative of with respect to is .Step 3.4Differentiate using the Power Rule which states that is where .Step 3.5Multiply by .Step 3.6Differentiate using the Power Rule which states that is where .Step 3.7Move to the left of .Step 4Simplify.Tap for more steps...Step 4.1Apply the distributive property.Step 4.2Apply the distributive property.Step 4.3Apply the distributive property.Step 4.4Apply the distributive property.Step 4.5Combine terms.Tap for more steps...Step 4.5.1Multiply by by adding the exponents.Tap for more steps...Step 4.5.1.1Move .Step 4.5.1.2Use the power rule to combine exponents.Step 4.5.1.3Add and .Step 4.5.2Move to the left of .Step 4.5.3Multiply by .Step 4.5.4Move to the left of .Step 4.5.5Multiply by .Step 4.5.6Multiply by by adding the exponents.Tap for more steps...Step 4.5.6.1Move .Step 4.5.6.2Use the power rule to combine exponents.Step 4.5.6.3Add and .Step 4.5.7Multiply by .Step 4.5.8Multiply by .Step 4.5.9Multiply by by adding the exponents.Tap for more steps...Step 4.5.9.1Move .Step 4.5.9.2Multiply by .Tap for more steps...Step 4.5.9.2.1Raise to the power of .Step 4.5.9.2.2Use the power rule to combine exponents.Step 4.5.9.3Add and .Step 4.5.10Multiply by .Step 4.5.11Add and .Step 4.5.12Subtract from .

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