Can I get process of calculation ? Thank you for your help!

3. Dene the function F: R2 I> R by W if3z+2y70 F131!\" 2 3m+2y ' 0 if 3:: + 23; = 0 Arguments similar to that of H1 Q5(b) show.r that F is a. continuous function on R\". In this problem we will show that F is a. di'erentiable function, and compute DF at the point (2, 3]. To start with, we dene the function G: R l> R by mslull if 0 Gts) = " "' ii . 0 uzO (a) The derivative in one variable is dened by a limit. Set up the limit which computes the derivative of G at u = 0. (b Evaluate the limit in part (a). [You may use L'Hpital's rule if you wish.) (e Findafunetinn H: lit2 }lilsuchthat F=GeH. (d By applying the chain rule, establish that F is a di'erentiahie function on R\". l J J (e) Use the chain rule to calculate DF(2, 3)