Honors Calculus IV

Directional derivatives and gradient vectors

[Graphics:calc4-12_6gr4.gif]
[Graphics:calc4-12_6gr2.gif][Graphics:calc4-12_6gr5.gif]

[Graphics:calc4-12_6gr10.gif]
[Graphics:calc4-12_6gr2.gif][Graphics:calc4-12_6gr11.gif]

Gradient vector fields and level curves

[Graphics:calc4-12_6gr14.gif]
[Graphics:calc4-12_6gr2.gif][Graphics:calc4-12_6gr15.gif]

[Graphics:calc4-12_6gr21.gif]
[Graphics:calc4-12_6gr2.gif][Graphics:calc4-12_6gr22.gif]