A) If z=sin(xy) ,x=3t ,y=5t2,

find dz/dt

using the chain rule. Assume the variables are restricted to domains on which the functions are defined. dz/dt=

B.

z/y(0,0,0)=

If sin(0x-2y+z) , use implicit differentiation to find the first partial derivatives z/x

and z/y at the point (0, 0, 0).

a.

z/x(0,0,0)=

b.

z/y(0,0,0)=