Find the gradient of the following functions a) F(x,y,z)= x2 + y3 + z4 b) F(x,y,z)= ex sin y ln z

Find the gradient of the following functions
a) F(x,y,z)= x2 + y3 + z4
b) F(x,y,z)= e^x sin y ln z
The height of certain hill (in feet) is given by: h (x,y) = 10 (2xy-3x²-4y²-18x+28y+12)

Where y is the distance in north, x is the distance in east.
a) Where is the top of the hill located?
b) How high is the hill?
c) How steep is the slope (in feet per mile) at a point 1-mile north and 1- mile east, in what
direction is the slope steepest?