# Find the directional derivative of f(x y)

There are a variety of methods that can be used to Find the directional derivative of f(x y).

## Calculus III

Find the directional derivative of f(x, y, z) = xy2z3 at P (4, 1, 1) in the direction of Q(0, −7, 9). Duf(4, 1, 1) = Expert Answer 100% (107 ratings) Previous question Next question Get more help

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## How to find the directional derivative of the following function?

Now select f(x, y) or f(x, y, z). Enter value for U1 and U2. Type value for x and y co-ordinate. Click the calculate button, to get output from multivariable derivative calculator. Output: The

## Solved Find the directional derivative of f(x, y) = x2y3 +

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## 4.6 Directional Derivatives and the Gradient

So, the directional derivative is, \[{D_{\vec u}}f\left( {x,y} \right) = \left( { - \frac{1}{2}} \right)\left( {{{\bf{e}}^{xy}} + xy{{\bf{e}}^{xy}}} \right) + \left( {\frac{{\sqrt 3 }}{2}}

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