Directional Derivative question. Calculus III/2-variable.

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Homework Statement



Let f(x,y,z)=sin(xy+z) and P=(0,-1, pi), Calculate Duf(P) where u is a unit vector making an angle 30°
=θ with dFp?

Homework Equations


This is a two variable problem, where partials are necessary in order to find the gradient formula to get <dFP>. To take the Directional Derivative, from what I know, you require the following equation... <dFP>dot<U>/||u||.


The Attempt at a Solution


from the following I calculated the gradient equation to be
<ycos(xy+z),xcos(xy+z),cos(xy+z)>

with the given gradient equation, I get dFP as <1,0,-1>.

What I cannot figure out is how to get the coordinates for the U vector.

Homework Statement





Homework Equations





The Attempt at a Solution

 

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