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diff

diff(rat[,varn]*)
diff(rat,varlist)
:: Differentiate rat successively by var's for the first form, or by variables in varlist for the second form.
return
expression
rat
rational expression which contains elementary functions.
varn
indeterminate
varlist
list of indeterminates
  • Differentiate rat successively by var's for the first form, or by variables in varlist for the second form.
  • differentiation is performed by the specified indeterminates (variables) from left to right. diff(rat,x,y) is the same as diff(diff(rat,x),y).
[0] diff((x+2*y)^2,x);  
2*x+4*y
[1] diff((x+2*y)^2,x,y);
4
[2] diff(x/sin(log(x)+1),x);
(sin(log(x)+1)-cos(log(x)+1))/(sin(log(x)+1)^2)
[3] diff(sin(x),[x,x,x,x]);
sin(x)


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