# Find dy/dx y=x^(3/2)

Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
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 .
Reform the equation by setting the left side equal to the right side.
Combine and .
Replace with .
Find dy/dx y=x^(3/2)