differentiation Flashcards
(16 cards)
1
Q
chain rule
A
- function within another function
- multiply by the derivitatve of the inside function
2
Q
product rule
A
- two functions multiplied together
- (u x v’) x (u’ x v)
3
Q
quotient rule
A
- one funtion divided by another function
- remeber VUUV
- (v x u’) - (u x v’) / v squared
4
Q
sin
A
cos
5
Q
cos
A
-sin
6
Q
e^(3x)
A
3e^(3x)
7
Q
ln x
A
1/x
8
Q
tan x
A
sec^(2)x
9
Q
parametric differentiation
A
dy/dx= dy/dt divided by dx/dt
10
Q
implicit
A
multiply y functions by dy/dx
11
Q
second derivatiove, convex when?
A
f(x)’’ > 0
12
Q
second derivative, concave when?
A
f(x)’’ < 0
- remember in a cave so less than ground level
13
Q
point of inflection
A
- when f(x)’’ = 0
- when theres a sign change either side of the point
14
Q
first principles
A
- f(x + h) - f(x) / h
15
Q
sin and cos first principles prompt
A
addition formulae
15
Q
A
