Compute the directional derivatives of the following functions at the indicated points in the given directions.
a) f(x,y)=x+2x^(2)-3xy;(x_(0),y_(0))=(1,1);d=((3)/(5),(4)/(5))
b) f(x,y)=ln(sqrt(x^(2)+y^(2)));(x_(0),y_(0))=(1,0);d=((2sqrt(5))/(5),(sqrt(5))/(5))
c) f(x,y,z)=xyz;(x_(0),y_(0),z_(0))=(1,1,1);d=((1)/(sqrt(2)))i+((1)/(sqrt(2)))k
d) f(x,y,z)=e^(x)+yz;(x_(0),y_(0),z_(0))=(1,1,1);d=((1)/(sqrt(3)))(i-j+k)
Compute the directional derivatives of the following functions at the indicated points in
the given directions
a)f(x,y)=x+2x2-3xy;(xo,yo)=(1,1);d=(
b)f(x,y)=ln(Vx2+y2);(xo,yo)=(1,0); d=(
c) f(x,y,z)=xyz;(xo,yo,zo)=(1,1,1); d=
()k
d) f(x,y,z)=ex+yz;(xo,yo,zo)=(1,1,1); d=
(i-j+ k)