Given f(x,y) =(x3y- 2x2y)
a) find the directional derivative of f(x,y) at (1, 2) in the
direction of <-3,4>
b)find the maximum value of directional derivative at (2,4) and
the direction in which this occurs
The directional derivative of a function F(x,y) at a point P
(1,-3) in the direction
of the unit vector - 3/5 i + 4/5 j is equal to - 4 while its
directional derivative
at P in the direction of the unit vector (1/root5) i + (2/root5) j
is equal to 0.
Find the directional derivative of F(x,y ) at P in the direction
from P(1,-3)
towards the point Q(5,0).
In the first 5 examples find the derivative of
Y
Y=epower2x
Y=epower-2x +xpower2
Y=epowerxpower1/2
Y= epower-3/x
Y=epower4xdivided by xpower2
Integrate the following
Int x epower5xpower2 dx
Int epower-2x between 1 and 0
Int.epower x1/2 divided by xpower1/2