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Diferenciální počet

Kurz: Diferenciální počet > Kapitola 2

Lekce 3: Definice derivace

Derivace jako limita

Která z následujících možností je rovna f, prime, left parenthesis, start fraction, pi, divided by, 2, end fraction, right parenthesis pro f, left parenthesis, x, right parenthesis, equals, sine, left parenthesis, x, right parenthesis?

(Možnost A)
limit, start subscript, x, \to, start fraction, pi, divided by, 2, end fraction, end subscript, start fraction, sine, left parenthesis, x, right parenthesis, minus, start fraction, pi, divided by, 2, end fraction, divided by, x, minus, 1, end fraction
(Možnost B)
limit, start subscript, x, \to, start fraction, pi, divided by, 2, end fraction, end subscript, start fraction, sine, left parenthesis, x, plus, start fraction, pi, divided by, 2, end fraction, right parenthesis, minus, sine, left parenthesis, start fraction, pi, divided by, 2, end fraction, right parenthesis, divided by, x, minus, start fraction, pi, divided by, 2, end fraction, end fraction
(Možnost C)
limit, start subscript, x, \to, start fraction, pi, divided by, 2, end fraction, end subscript, start fraction, sine, left parenthesis, x, right parenthesis, minus, sine, left parenthesis, start fraction, pi, divided by, 2, end fraction, right parenthesis, divided by, x, minus, start fraction, pi, divided by, 2, end fraction, end fraction
(Možnost D)
limit, start subscript, x, \to, start fraction, pi, divided by, 2, end fraction, end subscript, start fraction, sine, left parenthesis, x, minus, start fraction, pi, divided by, 2, end fraction, right parenthesis, divided by, x, minus, start fraction, pi, divided by, 2, end fraction, end fraction

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Diferenciální počet

Kurz: Diferenciální počet > Kapitola 2

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