## Related questions with answers

Question

Find the gradient of f at the indicated point. f(x, y)=

$\left( x ^ { 2 } + y ^ { 2 } \right) ^ { - 1 / 2 }$

; (3, 4)

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 4The * gradient* of a scalar function of two variables $f$ $\left(f:\mathbb{R}^2\to \mathbb{R}\right)$, denoted by $\nabla f$, is the vector

$\nabla f(x,y)=f_x(x,y)\textbf{i} + f_y(x,y)\textbf{j},$

where $f_x(x,y)$ and $f_y(x,y)$ are partial derivatives of $f$ with respect to $x$ and $y$, respectively.

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