Problem with the derivative of piece wise function
RRamanujam shared this question 2 years ago
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
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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(x-3)²+2)). This will give you the equations and as well provide you the possibility to find the intersecting points.
do not use f' you can to use derivative(f) for the function
for functions intersection with xaxis there is roots() command
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