MathProblemsBank

2.3.27 Gradient and directional derivative

condition: Find the derivative of the function \( \varphi=\ln (x y)+ \) \( +\sqrt[3]{x z}+\frac{z}{y} \quad \) at the point \( A(-1,-2,-1) \quad \) in the direction making equal angles with coordinate axes.

Calculation of the gradient and derivative in a given direction of functions of several variables.

-> Gradient and directional derivative