Chapter 9 Differentiation - Year 2 Flashcards
1
Q
A
Cosx
2
Q
A
-sinx
3
Q
What happens if there is something inside the brackets of sin or cos?
A
The k will pop out
4
Q
A
5
Q
A
6
Q
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
What are the 3 rules of differentiation?
A
Chain rule
Product rule
Quotient rule
12
Q
What is the long version of the chain rule?
A
13
Q
A
14
Q
How do you find dydx when the function is in terms of y?
A
15
Q
What is the short version of the chain rule?
A
Bring the power to the front then lower it by 1 and multiply by the derivative of inside the brackets
16
Q
What is the product rule?
A
17
Q
What are the answers to this equation?
Why?
A
Because e^x has an asymptote when x=0 so there are no solutions
18
Q
A
19
Q
A
20
Q
A
21
Q
A
22
Q
A
23
Q
A
24
Q
A
25
Q
A
26
Q
How do you prove that:
A
27
Q
How do you prove that:
A
28
Q
How do you prove that the derivative of sinx is cosx?
A
Small angle approximations
29
Q
What is the quotient rule?
A
30
Q
How do you do parametric differentiation?
A
33
Q
A
