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Given function u = f(x,y,z); point A(x0;y0) and vector a(a1;a2).
To find:
à) grad u in point À.
á) Derivative at point A in the direction of the vector a
u = x2 + 2xy + y2 + z2
A(1;1;1)
a(2;-1;0)
Gradient grad u
Gradient
Gradient: formula


How to find the derivative

grad u in point À

Module grad u
Module gradient
Module gradient: formula
The vector à(2;-1;0)
Runners angles

The vectors Module |a|



Derivative at point A in the direction of the vector à
Derivative at point A in the direction of the vector
Derivative in the direction of the vector