Properties
Category
English
Tags
derivative
Similar Topics
Statistics
Comments
5
Participants
4
Subscribers
5
Votes
2
Views
624
Share
Problem with the derivative of piece wise function
Answered
I found the derivative of a piecewise function using the command f'. I face two problems
1) In algebra view the derivative is shown as f'(x)=f'(x) only. The actual function is not shown
2) Not able to find the point of intersection of f' with the x axis using intersection tool
Files:
piecewise fn.ggb
 GeoGebra
 Help
 Partners

Contact us
 Feedback & Questions
 This email address is being protected from spambots. You need JavaScript enabled to view it.
 +43 677 6137 2693
© 2023 International GeoGebra Institute
As you illustrate, you can only calculate the equation of the derivate of a derivable function, where a piece wise function is not derivable in all the points of its domain.
However, you can calculate The two derivates seperately as Derivate(If(x ≤ 2, x²)) and Derivate(If(x>2, 2(x3)²+2)). This will give you the equations and as well provide you the possibility to find the intersecting points.
chris
do not use f' you can to use derivative(f) for the function
for functions intersection with xaxis there is roots() command
Comments have been locked on this page!