Directional Derivative please

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Directional Derivative please

Mathematics
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\[f(x,y)= \sin(xy)\] at \[2,\frac{\pi}{4}\]
do you mean f(x)=sinx. f(y)=siny
no, f(x,y)= sin(xy) Find \[d_{\theta}f(2, \frac{\pi}{4})\]

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Okay, easiest way to do this is with gradients.
oh looks like composite function.
my answer is 0. is this right?
Hang on...
Sorry, was preoccupied. The directional derivative of a function in the direction of the vector v is given by this formula: \[\large \nabla f(x,y) \cdot \frac{v}{||v||}\]
So, first, you need to get the unit vector of \[<2, \frac{\pi}{4}>\]

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