differentiatiaion Flashcards
1
Q
if f’(x)<0 then
A
decreasing function
2
Q
if f’(x) = 0
A
stationary point
3
Q
if f’(x)>0
A
increasing function
4
Q
if f’‘(x) < 0
A
concave/ maximum
5
Q
if f’‘(x) = 0
A
point of inflection
6
Q
if f’‘(x) > 0
A
convex / minimum
7
Q
derviative of ax^n
A
an x^(n-1)
8
Q
derviative of a^x
A
(ln a ) a^x
9
Q
derviative of e^x
A
e^x
10
Q
derviative of lnx
A
1/x
11
Q
derviative of sin x
A
cos x
12
Q
derviative of cos x
A
-sin x
13
Q
derviative of tan x
A
formula book
14
Q
derviative of sec x
A
formula book
15
Q
derviative of cot x
A
formula book
16
Q
derviative of cosec x
A
formula book
17
Q
derviative of f(blah)
A
f’(blah) x blah’
18
Q
derviative of uv
A
uv’ + u’v
19
Q
derviative of u/v
A
formula booklet
20
Q
derviative of f(y)
A
implicit
f’(y) x dy/dx
21
Q
dy/dx is the same as
A
1/dx/dy
22
Q
paarmetric dy/dx
A
y’/x’
23
Q
connected rate of change dV/dt =
A
dV/? x ?/dt
24
Q
rate means
A
over dt
