Y2CH9 Differentiation Flashcards
1
Q
Lim of cos(x+h)
A
cos(x+h) - cos(x) / h
2
Q
y = e^kx =
A
y = ke^kx
3
Q
y = lnx =
A
y = 1/x
4
Q
Chain rule
A
multiply by power, keep bracket, remove 1 power, multiply by differentiated inside
5
Q
Product rule and quotient rule
A
Easy
6
Q
Implicit differentiation
A
Separate dy/dx
May need to use quotient rule and product rule
7
Q
Using second derivatives how do you know if its concave or convex
A
Concave if f’’ < 0
convex f’’ > 0
8
Q
How do you know if there is a point of inflection
A
If there is a change in sign from f’’ = x
