Chapter 6 Flashcards
1
Q
Gradient of curve formula
A
F(x+h) - f(x) / h
2
Q
Differential of e^x
A
E^x
3
Q
Ln x
A
1/x
4
Q
C^x
A
C^x lnx
5
Q
Product rule
A
Uv’ + vu’
6
Q
Quotient rule for fractions
A
Vu’ - uv’ / v^2
7
Q
Chain rule
A
Du/dx x dy/dx
Differentiate then times by differential of power
8
Q
Stationary points
A
Differentiate to find x’s/ coordinates
Then differentiate again and sub in x values to see if negative or positive <0 maximum >0 minimum =0 stationary
9
Q
Partial differentiation nature of turning points formula
A
(D^2f/dx^2 - a) (d^2f/dy^2 -a) - (d^2f/ Dxdy) =0
10
Q
Taylor series
A
F(x) = f(a) + (x-a) f’(a) + (x-a)^2/2! F’’(a)
11
Q
Maclaurin series
A
F(0) + xf’x +x^2/2! F’’x +x^3/3! F’’’x
