Please help with the following problems:

Q1:

Let f (x, y) = 9e" and CC) = (6t2, t7) . Calculate (f o c)' (1'). Use the rst special case of the chain rule for composition. (Write your nal answer in terms of t. Use symbolic notation and fractions where needed.) (f C)'(f) = Letf(x,y,z) =xy+z,x =r+sSt,y= 3rt,z= s5. Use the Chain Rule to calculate the partial derivatives. (Use symbolic notation and fractions where needed. Express the answer in terms of independent variables.) W '3": T Let F(u, v) = 2""), u = x3, 1) = 7xy. Use the Chain Rule to calculate the partial derivative. (Use symbolic notation and fractions Where needed. Express the answer in terms of independent variables.) 6F Use the Chain Rule to evaluate the partial derivative % at the point (r, 0) = (2V2 %) , where g(x, y) = x+1y2 , x = 321' cos(6), y = 3r sin(9). (Use symbolic notation and fractions where needed.) 6g a0 (m9)