Week 5 - Limits etc Flashcards
1
Q
How do we calculate the gradient of a graph at a certain point?
A
The slope of the tangent
2
Q
If we have a chord of AB, how could we describe the slope of the tangent at A?
A
Gradient at A = the limit of gradient chord AB as B approaches A.
3
Q
What is the formula for finding the slope of a chord AB?
A
(x+h) - x
4
Q
Describe the method used to differentiate with respect to x, the gradient of point A on a graph
A
1st) Find the slope of the chord AB
2nd) Simplify the slope as best as possible
3rd) Use this to write point A as limit
4th) Remove H
5
Q
What does the term ‘the first derivate’ refer to?
A
The gradient of the curve
6
Q
How do you change 2/x^2 to remove the fraction?
A
2x^-2
7
Q
How do you change the x root of a?
A
A^1/x
