Table of Contents
T22
Vyšetřete průběh funkcí a nakreslete jejich grafy:
260.
\( f(x) = \frac{x^3}{3 − x^2} \)
261.
\( f(x) = \frac{x^4}{x^3 − 2} \)
255.
\( f(x) = 1 + x^2 − \frac{x^4}{2} \)
262.
\( f(x) = \frac{x^2 (x − 1)}{(x + 1)^2} \)
256.
\( f(x) = (x + 1)(x − 2)^2 \)
263.
\( f(x) = \frac{x}{(1 − x^2 )^2 \)
264.
\( f(x) = \frac{x^4}{(x + 1)^3 \)
265.
\( f(x) = (\frac{1+x}{1−x})^4 \)
259.
\( f(x) = \frac{x^2}{x^2 − 1} \)
266.
\( f(x) = \frac{x}{(1 + x)(1 - x)^2} \)
252.
\( f(x) = 3x − x^3 \)
253.
\( f(x) = (x^2 − 1)^3 \)
254.
\( f(x) = x^2 − 4|x| + 3 \)
257.
\( f(x) = \frac{x}{1 + x^2} \)
258.
\( f(x) = \frac{x^2}{x^2 - 1} \)
267.
\( f(x) = \frac{x^2 − 1}{x^2 − 5x + 6} \)
280.
\( f(x) = \frac{e^x}{x} \)
268.
\( f(x) = \frac{x^4 + 8}{x^3 + 1} \)
281.
\( f(x) = e^(2x−x^2) \)
282.
\( f(x) = \frac{e^x}{1 + x} \)
269.
\( f(x) = \frac{2 - x^2}{1 + x^4} \)
270.
\( f(x) = \frac{1}{x} + 4x^2 \)
271.
\( f(x) = x^2 + \frac{1}{x^2} \)
272.
\( f(x) = (x - 3)\sqrt{x} \)
273.
\( f(x) = \sqrt{8x^2 - x^4} \)
283.
\( f(x) = \frac{1}{e^x - 1} \)
284.
\( f(x) = x + e^−x \)
285.
\( f(x) = \sqrt{x} \ln x \)
286.
\( f(x) = \frac{\ln x}{\sqrt{x}} \)
287.
\( f(x) = x^2 ln^2 x \)
274.
\( f(x) = \frac{x - 2}{\sqrt{x^2 + 1} \)
288.
\( f(x) = \ln(x^2 + 1) \)
275.
\( f(x) = \sin x + \cos^2 x \)
289.
\( f(x) = x − \ln(x + 1) \)
276.
\( f(x) = x + \sin x \)
290.
\( f(x) = x + \frac{\ln x}{x} \)
277.
\( f(x) = 2x − \tg x \)
278.
\( f(x) = x^2 e^−x \)
291.
\( f(x) = \ln \cos x \)
279.
\( f(x) = xe^−x \)
292.
\( f(x) = x + \atan x \)
