-
Calculus
- Differentiation from first principles
This activity is also part of one or more other Books. Modifications will be visible in all these Books. Do you want to modify the original activity or create your own copy for this Book instead?
This activity was created by '{$1}'. Do you want to modify the original activity or create your own copy instead?
This activity was created by '{$1}' and you lack the permission to edit it. Do you want to create your own copy instead and add it to the book?
Differentiation from first principles
As h gets small, point B gets closer to point A, and the line joining the two gets closer to the REAL tangent at point A. Calculating the gradient between points A & B is not too hard, and if we let h -> 0 we will be calculating the true gradient.
The point A is at x=3 (originally, but it can be moved!)
What is the gradient of the line AB when h = 2?
h=1?
h=0.1?
h=0.01?
h=0? (!)
The original curve is f(x)=x³. What function would give you the gradient at any point?
Saving…
All changes saved
Error
A timeout occurred. Trying to re-save …
Sorry, but the server is not responding. Please wait a few minutes and then try to save again.