Use to rewrite as .

Differentiate both sides of the equation.

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 .

Combine the numerators over the common denominator.

Simplify the numerator.

Multiply by .

Subtract from .

Move the negative in front of the fraction.

Rewrite the expression using the negative exponent rule .

Multiply and .

Reform the equation by setting the left side equal to the right side.

Replace with .

Find dy/dx y = square root of x