Practice problem
Find the directional derivative Duf(x,y)D_uf(x,y)Duf(x,y) if f(x,y)=3x−5yf(x,y)=\sqrt{3x-5y}f(x,y)=3x−5y and u\bf{u}u is the unit vector given by the angle θ=−π6\theta=-\frac{\pi}{6}θ=−6π. What is Duf(5,2)D_uf(5,2)Duf(5,2)?
1.141.141.14
1.151.151.15
1.161.161.16
1.171.171.17
Type a concept, like “slope” or “photosynthesis”.