Chapter 13.2, Problem 76E

Finding a Limit In Exercises 71-76, find each limit.

(a) $\underset{\Delta x\to 0}{\lim }\frac{f(x+\Delta x,y)-f(x,y)}{\Delta x}$

(b) $\underset{\Delta y\to 0}{\lim }\frac{f(x,y+\Delta y)-f(x,y)}{\Delta y}$

$f(x,y)=\sqrt{x}(y+1)$