5.9.2 Usual infixed functions on reals: +,-,*,/,^
+,-,*,/,^ are the usual operators to do
additions, subtractions, multiplications, divisions and for raising to a
power.
Input:
3+2
Output:
5
Input:
3-2
Output:
1
Input:
3*2
Output:
6
Input:
3/2
Output:
3/2
Input:
3.2/2.1
Output:
1.52380952381
Input:
3^
2
Output:
9
Input:
3.2^
2.1
Output:
11.5031015682
Remark
You may use the square key or the cube key if your keyboard has one,
for example: 32 returns 9.
Remark on non integral powers
-
If x is not an integer, then ax=exp(x ln(a)), hence
ax is well-defined only for a>0 if x is not rational. If x
is rational and a<0, the principal determination of the logarithm
is used, leading to a complex number.
- Hence be aware of the difference between (a)1/n and a1/n
when n is an odd integer.
For example, to draw the graph of y=∛x3−x2, input:
plotfunc(ifte(x>0,(x^
3-x^
2)^
(1/3),
-(x^
2-x^
3)^
(1/3)),x,xstep=0.01)
You might also input:
plotimplicit(y^
3=x^
3-x^
2)
but this is much slower and much less accurate.