i dont know how to do a erivative by x
by y
if it were
then
f'x=3 f'y=-5 f'z=0
how the f(x,y,2x^2+y^2)=3x-5y
changes??
i know that the maximal growth is the gradiend of a function.
the formula is:
so when i am given a function
i am was told that it growth on point M(1,2,6) in direction is 1
what is the gradient of f (maximal growth).
i tried to get it like this:
first of all i need a function which looks like this f(x,y,z)=...
in order to find the gradient
i dont know how to do the gradient of a function which i was given.
if i substiute the point
f(1,2,6)=3-10=7
i know i should write
????