MathProblemsBank

2.3.29 Gradient and Directional Derivative

Condition: calculate the gradient of the function \ (z = f (x, y) \) at the point \ (\ left (x_ {0}, y_ {0} \ right) \): \ [f (x, y) = \ sin \ pi x \ cos \ left (\ frac {\ pi} {2}} {2} y \ right), \ left (x_ {0}; y_ {0} \ right) = (1; 0) \ text {. } \]

Calculation of the Gradient and Derivative in a Given Direction of Function of Several Variables.