MAT 211 Lecture Notes - Lecture 11: Partial Derivative, Linear Function, Power Rule
Document Summary
Function with a single variable is a rule that assigns a one unique output for every input. Linear function: m is slow, the constant rate of change. De nition: a real valued function f of x, y, z is a rule that assigns a unique output value for each sequence of inputs x, y, z 2 is the slope in the x direction. 3 is the slope in the y direction. The rate of change of z with respect to x (y is xed) is 2 (the slope in the direction of x) 1 unit increase in x (y is xed) results in 2 unit increase in z. The rate of change of z with respect to y (x is xed) is -3 (the slope in the direction of y) 1 unit increase in y (x is xed) results in a 3 unit decrease in z. Currently, brands x, y, z are each selling million per year.
