Since is constant with respect to , the derivative of with respect to is .

Differentiate using the Product Rule which states that is where and .

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 .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Combine terms.

Multiply by by adding the exponents.

Move .

Multiply by .

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.

Move .

Use the power rule to combine exponents.

Add and .

Multiply by .

Multiply by .

Multiply by by adding the exponents.

Move .

Multiply by .

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)