HP 40gs Manual do Utilizador descarregar pdf (Página 209)

100

101

Computer Algebra System (CAS) 14-27

TABVAR Variation table

TABVAR has as a parameter an expression with a

rational derivative.

TABVAR returns the variation table for the expression in

terms of the current variable.

Typing:

TABVAR(3X

-8X-11)

gives, in step-by-step mode:

Variation table:

The arrows indicate whether the function is increasing or

decreasing during the specified interval. This particular

variation table indicates that the function F(x) decreases

for x in the interval [–∞, ], reaching a minimum of

at x = . It then increases in the interval [ , +∞], reaching

a maximum of +∞.

Note that “?” appearing in the variation table indicates

that the function is not defined in the corresponding

interval.

TAYLOR0 Limited expansion in the vicinity of 0

TAYLOR0 has a single argument: the function of x to

expand. It returns the function’s limited 4th-relative-order

expansion in the vicinity of x=0 (if x is the current

variable).

------

⋅

1–

------

⋅

---

⋅ h+++0h

()+ hx=()

–∞ – ++∞ X

+∞

↓↑

+∞ F

F 3 x

⋅ 8 x⋅–11–()=

F'32x 8–⋅⋅()=

23x 4–⋅()⋅()→

---

–

----------

---

–

----------

---

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