Derivatives you know and love already
(uv)=u
+v
Partial de
erivativ kee
ve, eping y constant in z=f(x,y
y)
,
lim
,
,
Explicit Differentiation
Maybe z is an explicit function:
z=f(x,y).
Then if the f consists of polynomials and other differ
MATA33 Determinant notes, mostly stolen from Prof
Eric Moore
Definition: determinant
(i) The determinant of a 1 by 1 matrix [a] is a.
(ii) Suppose a denition is provided for a n1 by n1
determinant. Dene the determinant of the n*n matrix by:
a11
a
21
.
Functions of more than one variable: multivariate (Ch 2.8)
Above z=f(x,y) could be e.g. the life expectancy at age 20 of
a person of weight x and height y.
Planes
Equation of one-dimensional line in two dimensions:
Ax+By+D=0
Equation of two-dimensional pl
Data Projector Frameworks: MATA33 W11 Sharp
(partly stolen from Haeussler et al 13e Ch 7)
Linear Inequalities
Imagine that each week you have $50 spare. You have
a need for at least 6 sessions per week of gym exercise
(x sessions) at $5 per session and at