**MIdterm 2 Study Guide**

Fall 2015

Anotoly Ezlydon

MATH 2419

MIDTERM 2 STUDY GUIDE: CALCULUS II Equations ( ) Partial Derivative relative to x: fx∆????→∞im???? ????????+∆????,???????? −????(????????,????????) ∆???? Partial Derivative relative to y: fy = lim???? ????????,????????+∆???? −????(????????,????????) ∆????→∞ ∆???? Gradient: ∇???? = < ????????,????????,???????? > Full differential: ∇???? ∙< ∆????,∆???? > Implicit Differentiation: Given z =