Differentiation Flashcards
1
Q
What is the limit definitio of the derivative?
A
fâ(x) = lim ((h -> 0) f (x +h) - f (x)) / h
2
Q
How do you get dy/dx?
A
multiply by the power and then -1 from the power
3
Q
How to find the gradient?
A
find dy/dx then substitute in x
4
Q
What is the gradeint of the normal?
A
-1 / the gradient of the tangent
5
Q
What is another phrase for the gradient?
A
The rate of change
6
Q
What is a stationary point?
A
Anywhere where the gradient = 0
7
Q
What does it mean if fâ(x) < or = 0?
A
The function is decreasing
8
Q
What is the gradient of the tangent?
A
It is the same as the gradient of the curve