Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ .Then $\text { grad } f ( 0,0,0 ) = \overrightarrow { 0 }$ .

Name: Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$ .Then $\text { grad } f ( 0,0,0 ) = \overrightarrow { 0 }$ .
Brand: Quizplus
Rating: 4.9 (38 reviews)

Question

Quizplus · Accepted Answer

The gradient of $f(x, y, z) = x^2 + y^2 + z^2$ is $\text{grad} f = (2x, 2y, 2z)$. At the point (0,0,0), this becomes $\text{grad} f(0,0,0) = (0,0,0) = \overrightarrow{0}$.

Let f(x,y,z)=x2+y2+z2f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }f(x,y,z)=x2+y2+z2

Let $f ( x , y , z ) = x ^ { 2 } + y ^ { 2 } + z ^ { 2 }$