Solve teh below:
Q: Let f(x,y,z)=e^(x+y+3z)
a) Find the directional deriv at p(-2,2,1)in the direction of q(18,-2,4).
b) Find the direction of max increase at p. what is max rate of increase?
c) Find the direction of max decrease at p. what is max rate of decrease?
d) In what direction from p will f remain constant?