Compute the Gradient of the Function at the Given Point $$f ( x , y ) = \tan ^ { - 1 } \frac { - 9 x } { y }$$

question 139

Multiple Choice

Compute the gradient of the function at the given point.
- $$f ( x , y ) = \tan ^ { - 1 } \frac { - 9 x } { y }$$

• A) \({\nabla} f = - \frac { 3 } { 37 } \mathrm { i } + \frac { 2 } { 37 } \mathrm { j }\)
• B) \({\nabla} f = - \frac { 3 } { 38 } \mathbf { i } + \frac { 1 } { 19 } \mathbf { j }\)
• C) \({\nabla} f = - \frac { 3 } { 38 } \mathrm { i } - \frac { 1 } { 19 } \mathrm { j }\)
• D)\({\nabla} f = - \frac { 3 } { 37 } \mathrm { i } - \frac { 2 } { 37 } \mathrm { j }\)

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