Y1,C12 - Differentiation Flashcards
1
Q
When is a function increasing for all real x
A
When f’(x) is greater than 0
2
Q
When is a function decreasing for all real x
A
When f’(x) is less than 0
3
Q
How to calculate the normal to a curve at a given point
A
Use f’(x) to work out tangent gradient
Negative reciprocal of tangent gradient = normal gradient
4
Q
How to calculate the least value
A
Find where gradient = 0
Least value = y-coordinate
5
Q
What would be correct notion to represent:
The amount of medicine in a person’s bloodstream decreases at a rate of 50mg per hour after injection
A
dM / dt = -50
M = medicine
t = time
-50 as it is decreasing
6
Q
A
