MathProblemsBank

2.3.15 Gradient and directional derivative

Problem: Function z=z(x,y), point A(x0;y0) and vector a are given. It is required to find at point A : a) the gradient of the function and its value, b) the derivative of z in the direction of vector a. z(x,y)=x2xy+y2,A(2;2),a={6;8}.