Differentiation: Maximum and minimum points Flashcards
1
Q
What is an increasing function?
A
When the gradient dy/dx of a graph is positive, the value of y is increasing.
2
Q
What is a decreasing function?
A
When the gradient is negative, the value of y is decreasing.
3
Q
What is a turning point?
A
When dy/dx = 0.
4
Q
What is a local maximum?
A
if the stationary point(s) substituted into d2y/dx2 < 0
5
Q
Local minimum
A
if the stationary point(s) substituted into d2y/dx2 > 0
6
Q
A
7
Q
A
