first you have to find the derivative of the equation f(x)=\(x^{3/2}\) . To do this, you can use the power rule (\(f(x)= x^{n}\) goes to \(f'(x)=nx^{n-1}\)). so the derivative would be f'(x)= \(\frac{3}{2} x^{ \frac{3}{2}-1 }\) , which can be written as f'(x)= \(\frac{ 3\sqrt{x}}{2}\). then you plug in 4 for x, and get \(\frac{3 \sqrt{4} }{2} =3\), so f'(x)=3
