MathProblemsBank

2.3.11 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)=2x2+3xy+4y2,A(2;2),a={1;3}.