Advanced Calculus and Differentiation Flashcards
1
Q
Chain Rule
A
Number in front of x is multiplied to the front.
1
Q
Product Rule
A
dy/dx = uv’+vu’
2
Q
Quotient Rule
A
if y = a/b than u/v = vu’-uv’/v squared
3
Q
Differentiation
A
y’ & y”
4
Q
Second Derivative
A
y”
5
Q
ln x =
A
1/x
6
Q
log x =
A
log (10) x
7
Q
Trig Diff
sin=
cos=
tan=
A
- cos
- sin
- sec squared
8
Q
Minimum is
Maximum is
Turning Point is
A
minus - plus
plus - minus
0
9
Q
Stationary Point / Turning Point Find
A
Let y’ = 0
10
Q
Concavity Up =
A
y’’ >0
11
Q
Concavity Down =
A
y”<0
12
Q
POI (Point of Inflection)
A
Let y” = 0 then put that point
13
Q
Optimisation Problems
A
Making an equation with two equations.
14
Q
Gradient of a Tangent
A
y=mx+c
