Differentiation Flashcards
1
Q
How do you differentiate?
A
Times the coefficient of X by the power and take 1 away from the power. If the function is f(x) then the differentiation is f’(x).
2
Q
How do you use differentiation to find a gradient?
A
Differentiate a function and substitute in the x value at the point where you want to find the gradient.
3
Q
How do you find a second order derivative?
A
Differentiate the function twice. Written f’‘(x).
4
Q
What is a stationary point on a graph?
A
A point at which the gradient is 0. They can be either a maximum, minimum or flat.
5
Q
How do you know if a stationary point is a maximum, minimum or flat?
A
If f’‘(x)<0 then the point is a maximum. If f’‘(x)>0 the point is a minimum. If f’‘(x)=0 then the stationary point is flat.
