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The Directional Derivative of a Function F(x,y) at a Point

Question 17

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The directional derivative of a function F(x,y) at a point P in the direction of the unit vector- The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j i + The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j j is equal to -4, while the directional derivative at P in the direction of the unit vector The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j i+ The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j j is equal to0. The value ofThe directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 jF(P) is equal to:


A) 20
B) ± 2 The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j
C) The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j i - The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j j
D) The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j i - The directional derivative of a function F(x,y)  at a point P in the direction of the unit vector-   i +   j is equal to -4, while the directional derivative at P in the direction of the unit vector   i+   j is equal to0. The value of F(P)  is equal to: A)  20 B)  ± 2   C)    i -   j D)    i -   j E)  4 i - 2 j j
E) 4 i - 2 j

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