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(Solved): Use Theorem \( 13.9 \) to find the directional derivative of the function at \( P \) in the directi ...
Use Theorem \( 13.9 \) to find the directional derivative of the function at \( P \) in the direction of the unit vector \( \mathbf{u}=\cos \theta i+\sin \theta j \). \[ f(x, y)=\frac{y}{8 x+y}, \quad P(3,0), \quad \theta=-\frac{\pi}{6} \]