MATH 2321 Lecture Notes - Lecture 9: Partial Derivative

• School: Northeastern University
• Department: Mathematics
• Course: MATH 2321
• Professor: Sumi Seo

Document Summary

Suppose z= f(x,y) is a real-valued func of 2 variables. The partial derivative of f(x,y) with respect to x is the derivative of f(x,y) holding x as we variable and y as a constant. so, we treat x as a variable and y as a constant. Z=f(x,y) = x + elny-3xy of = 3x y + e* eny-exy df = x+ex. Ex. w=f(x, y, z) = xs nlyz) + y = " + x3y fx = sinlyz) + 3xy fy = 1. 2605 (42) + 2y (8 + x3 fp = xycos(yz) = yes.