$18$:$18$

Cancel

Annotate

Next

$11-17$ Find the directional derivative of the function at the given point in the direction of the vector $v.$

$11.f(x,y)=e^{x}siny,(0,\frac{}{3}),v=($:$-6,8$:$)$

$12.f(x,y)=\frac{x}{x^2{y}^2},(1,2),v=($:$3,5$:$)$

$13.g(p,q)=p^4-p^2{q}^3,(2,1),v=i3j$

$14.g(r,s)=ta{n}^{-1}(rs),(1,2),v=5i10i$

$15.f(x,y,z)=x{e}^{y}y{e}^{z}z{e}^x,(0,0,0),v=($:$5,1,-2$:$)$

$16.f(x,y,z)=\sqrt[\phantom{2}]{xyz},(3,2,6),v=($:$-1,-2,2$:$)$

$17.h(r,s,t)=ln(3r6s9t),(1,1,1),v=4i12j6k$

Search

Annotate by drawing on the image

$11-17$ Find the directional derivative of the function at the given point in the direction of the vector $v.$

$11.f(x,y)=e^{x}siny,(0,\frac{}{3}),v=($:$-6,8$:$)$

$12.f(x,y)=\frac{x}{x^2+y^2},$

$(1,2),v=($:$3,5$:$)$

$13.g(p,q)=p^4-p^2{q}^3,(2,1),v=i+3j$

$14.g(r,s)=ta{n}^{-1}(rs),(1,2),v=5i+10i$

$15.f(x,y,z)=x{e}^y+y{e}^z+z{e}^x,(0,0,0),v=($:$5,1,-2$:$)$

$16.f(x,y,z)=\sqrt[\phantom{2}]{xyz},(3,2,6),v=($:$-1,-2,2$:$)$

$17.h(r,s,t)=ln(3r+6s+9t),(1,1,1),v=4i+12j+6k$

Search

$11-17$ Find the directional derivative of the function at the given point in the direction of the vector $v.$

$11.f(x,y)=e^{x}siny,(0,\frac{}{3}),v=($:$-6,8$:$)$

$12.f(x,y)=\frac{x}{x^2+y^2},$

$(1,2),v=($:$3,5$:$)$

$13.g(p,q)=p^4-p^2{q}^3,(2,1),v=i+3j$

$14.g(r,s)=ta{n}^{-1}(rs),(1,2),v=5i+10i$

$15.f(x,y,z)=x{e}^y+y{e}^z+z{e}^x,(0,0,0),v=($:$5,1,-2$:$)$

$16.f(x,y,z)=\sqrt[\phantom{2}]{xyz},(3,2,6),v=($:$-1,-2,2$:$)$

$17.h(r,s,t)=ln(3r+6s+9t),(1,1,1),v=4i+12j+6k$

Search