# Find the Derivative minus d First, divide dx y equals minus(x to the power of two) divide sixteen plus two divide x minus x to the power of(three divide two) plus one divide(three x to the power of two) plus x divide three

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 .

First, First, multiply by .

Add and .

Combine and .

The common factor should be canceled of and .

Factor out of .

The common factors should be canceled.

Factor out of .

Cancel the common factor.

Reformulate the expression.

Put the negative in front of the fraction.

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

Should be rewritten as .

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 .

To write as a fraction with a common denominator, multiply by .

Combine and .

Add numerators over the common denominator.

Clarify the numerator.

Multiply by .

Subtract from .

Combine and .

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

Rewrite as .

Differentiate using the chain rule, which states that is where and .

To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

Differentiate using the Power Rule which states that is where .

Multiply the exponents in .

Apply the power rule when multiplying the exponents, .

Multiply by .

Multiply by .

Raise to the power of .

Use the power rule to Add exponents.

Subtract from .

Combine and .

Combine and .

Move to the denominator using the negative exponent rule .

Move the negative in front of the fraction.

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 .

Reformulate the expression applying the negative exponent law .

Combine terms.

Combine and .

Move the negative in front of the fraction.

Shift terms.

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