Y1CH12 Differentiation Flashcards
1
Q
First principle
A
in formula booklet
Used to find gradient of the curve of any value of x
2
Q
How do you know if a function is increasing or decreasing
A
If the gradient is less than or more than 0
3
Q
What does second order derivative give you
A
The rate of change of gradient
4
Q
What is a stationary point?
A
When the gradient is zero
5
Q
How do you know if a stationary point is a local maximum or local minimum
A
Minimum when second order is greater than 0
Maximum when second order is less than 0
6
Q
How do you know if a stationary point is a point of inflection
A
When gradient values next to the point are the same (both positive or both negative)
7
Q
If fââ(x) = 0
A
This is a point of inflection