Rewrite as .

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

The derivative of with respect to is .

Combine and .

Move to the denominator using the negative exponent rule .

Multiply by .

Raise to the power of .

Use the power rule to combine exponents.

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

Write each expression with a common denominator of , by multiplying each by an appropriate factor of .

Combine.

Multiply by .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Differentiate using the Power Rule which states that is where .

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

Combine.

Multiply by .

Combine the numerators over the common denominator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Combine and .

Combine and .

Move to the denominator using the negative exponent rule .

Find the Derivative – d/dx y = square root of x natural log of x