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derivarite of inverse of complex function

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fima v
fima v 2020-2-26
Hello , i have a function as shown bellow
syms x
Y=1./(log(x)-1)
fplot(finverse(Y),[5,6])
We have made an inverse by using finverse(Y)
how do i differentiate this function?
"diff" is not working because when i comprare the values of diff with the finverse slope , it gives me a tottaly different result.
in symilar problem i used "polyder" function at it worked great, but here we need to make a derivatite on inverse of Y=1./(log(x)-1) which is far from being polynomial.
What could be done?
Thanks.

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