(from http:/prairiestate.edu/skifowit/sheets/c02.pdf)
Dierentiation Formulas
d
k=0
dx
d
[f (x) g(x)] = f (x) g (x)
dx
d
[k f (x)] = k f (x)
dx
d
[f (x)g(x)] = f (x)g (x) + g(x)f (x)
dx
g(x)f (x) f (x)g (x)
d f (x)
=
2
dx g(x)
[g(x)]
d
f (g(x) = f (g(x) g
DEPARTMENT OF MATHEMATICS AND STATISTICS
Math 2170, S13
Test 2
This is a 50 minute test. You may quote results from lecture notes
without proof. Notes are not permitted, however, you may use results
from the Calculus formula sheet provided.
Give sucient w
(from http:/www1.maths.leeds.ac.uk/~kisilv/courses/formulae0111.pdf)
Elementary Differential and Integral Calculus
FORMULA SHEET
Exponents
xa xb = xa+b ,
ax bx = (ab)x ,
Logarithms
ln xy = ln x + ln y,
ax = ex ln a .
ln xa = a ln x,
(xa )b = xab ,
ln 1 =
(Chapter 2)
(Section 2.1)
(Not in book except
as an exercise on p.77)
(Section 2.2)
(of 1st order equations:
treated as an exercise on p.49)
(Section 2.6)
(Section 2.8)
(Section 2.4)
(Section 2.7)
(Section 2.3)
(Section 2.5)
(Section 2.5 continued)
(Secti