# Find the Derivative minus d divide dx (x to the power of three minus three x to the power of two plus four) divide(x to the power of two)

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

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

By the Sum Rule, the derivative of with respect to is .

Differentiate using the Power Rule which states that is where .

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 .

Simplify with factoring out.

Multiply by .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Apply the distributive property.

Apply the distributive property.

Simplify the numerator.

Simplify each term.

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Rewrite using the commutative property of multiplication.

Multiply by by adding the exponents.

Move .

Multiply by .

Multiply by .

Multiply by .

Combine the opposite terms in .

Add and .

Add and .

Subtract from .

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