Question

The gradient of f(x, y, z) = x - 2y + x2 is​

Answer 1

Answer:

answer is yes next answer is 9

Answer 2

Answer:

The gradient of the function $f(x,y,z)=x-2y+x^{2}$  is​ $i(1+2x)+j(-2)$

Step-by-step explanation:

Del is an operator used in vector calculus as a vector differential operator

To convert a scalar quantity to a vector quantity del operator is used as a gradient

For the cartesian coordinate system, the gradient is given by the formula

$id/dx+jd/dy+kd/dz$

from the question, it is given that the function is

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

the gradient of the above function is

$id/dx+jd/dy+kd/dz(x-2y+x^{2})$

$i\frac{d(x-2y+x^{2})}{dx} +j\frac{d(x-2y+x^{2})}{dy} +k\frac{d(x-2y+x^{2})}{dz}$

differentiate the function with respect to x, y, and z

$i(1+2x)+j(-2)$

there are no z terms so no z components in the resulting vector