Find the Derivative f(x)=6x^4(9x^2-4x+8)

Math
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Product Rule which states that is where and .
Differentiate.
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By the Sum Rule, the derivative of with respect to is .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Multiply by .
Since is constant with respect to , the derivative of with respect to is .
Add and .
Differentiate using the Power Rule which states that is where .
Move to the left of .
Simplify.
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Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Combine terms.
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Multiply by by adding the exponents.
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Move .
Multiply by .
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Raise to the power of .
Use the power rule to combine exponents.
Add and .
Move to the left of .
Multiply by .
Move to the left of .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
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Move .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by by adding the exponents.
Tap for more steps…
Move .
Multiply by .
Tap for more steps…
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Multiply by .
Multiply by .
Multiply by .
Add and .
Subtract from .
Find the Derivative f(x)=6x^4(9x^2-4x+8)


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