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

The derivative of with respect to is .

Differentiate using the Power Rule.

Combine and .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Differentiate using the Power Rule which states that is where .

Multiply by .

Differentiate.

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

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

The derivative of with respect to is .

Add and .

Rewrite as .

Differentiate using the Power Rule which states that is where .

Rewrite the expression using the negative exponent rule .

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

Differentiate.

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

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 .

Simplify the expression.

Multiply by .

Add and .

Rewrite the expression using the negative exponent rule .

Combine and .

Find the 2nd Derivative y=x natural log of x