If you know the directional derivative of f(x, y)in two distinct directions (i.e.not including opposite directions)at a point P then you can find $\frac { \partial f } { \partial x } ( P )$

Question

Quizplus · Accepted Answer

Knowing the directional derivatives of $f(x, y)$ in two linearly independent directions at a point $P$ allows you to solve a system of equations to find the partial derivatives $\frac{\partial f}{\partial x}(P)$ and $\frac{\partial f}{\partial y}(P)$.

If You Know the Directional Derivative of F(x, Y)in Two ∂f∂x(P)\frac { \partial f } { \partial x } ( P )∂x∂f​(P)

If You Know the Directional Derivative of F(x, Y)in Two $\frac { \partial f } { \partial x } ( P )$