Answer
a. $\frac{3\sqrt x}{2}$,
b. $\frac{3\sqrt x}{2}$
Work Step by Step
a. $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=(3u^2)(\frac{1}{2\sqrt x})=(3x)(\frac{1}{2\sqrt x})=\frac{3\sqrt x}{2}$
b. $\frac{dy}{dx}=\frac{dy}{du} \frac{du}{dx}=(\frac{1}{2\sqrt u})(3x^2)=(\frac{1}{2x\sqrt x})(3x^2)=\frac{3\sqrt x}{2}$
