Practice problem
Find the directional derivative Duf(x,y)D_uf(x,y)Duf(x,y) if f(x,y)=ln(x2+y3)f(x,y)=\ln(x^2+y^3)f(x,y)=ln(x2+y3) and v=<3,4>\textbf{v}=<3,4>v=<3,4>. What is Duf(6,2)D_uf(6,2)Duf(6,2)?
2155\frac{21}{55}5521
2133\frac{21}{33}3321
2111\frac{21}{11}1121
212121
Type a concept, like “slope” or “photosynthesis”.