Derivácia elementárnych funkcií

Pridané používateľom ladislav.foltyn dňa Št, 05/23/2019 - 10:32

Project ID:

5000000063

Accepted:

Podoblasť:

Template:

Question:

\footnotesize Vyberte správne derivácie výrazov.

Question Row 1:

{(3 x^{4} - 8 x^{3} + 5 π)}^{'}

Answer Row 1:

12 x^{3} - 24 x^{2} + 5

, *

12 x^{3} - 24 x^{2}

12 x^{3} - 24 x^{2} + 5 π

12 x^{3} - 24 x^{2} + 5 π x

Question Row 2:

{(4 x^{- 2} + 3 \ln x)}^{'}

Answer Row 2:

- \frac{8}{x^{3}} + \frac{1}{x}

\frac{8}{x^{3}} + \frac{3}{x}

, *

- \frac{8}{x^{3}} + \frac{3}{x}

- \frac{5}{x}

Question Row 3:

{(\frac{3}{x^{3}} + 2 \sqrt{x})}^{'}

Answer Row 3:

\frac{9}{x^{2}} + \frac{2}{\sqrt{x}}

, *

- \frac{9}{x^{4}} + \frac{1}{\sqrt{x}}

- \frac{9}{x^{2}} + \frac{1}{\sqrt{x}}

\frac{1}{x^{2}} + \frac{2}{\sqrt{x}}

Question Row 4:

{(\frac{2}{3} x^{3} - 3 e^{x} + 3 e)}^{'}

Answer Row 4:

2 x^{2} - 3 e^{x} + 3

2 x^{3} - 3 e^{x}

\frac{2}{9} x^{2} - 3 e^{x} + 3

, *

2 x^{2} - 3 e^{x}

Question Row 5:

{(5^{x} + \sin x)}^{'}

Answer Row 5:

5^{x} + \cos x

x 5^{x - 1} + \cos x

5^{x} \ln 5 - \cos x

, *

5^{x} \ln 5 + \cos x

Question Row 6:

(2 \cos x - \log_{2} x)^{'}

Answer Row 6:

- 2 \sin x - \frac{1}{x \ln 2}

2 \sin x - \frac{1}{x}

- 2 \sin x - \frac{1}{x}

2 \sin x - \frac{\ln 2}{x}

Question Row 7:

$(\mathrm{tg}\,x-\ln 5)'$

Answer Row 7:

- \frac{1}{\cos^{2} x} - \frac{1}{5}

- \frac{1}{\sin^{2} x} - \frac{1}{5}

, *

\frac{1}{\cos^{2} x}

\frac{1}{\cos^{2} x} - \frac{1}{5}

Question Row 8:

{(\sqrt[8]{x} + cotg x)}^{'}

Answer Row 8:

\frac{1}{3 \sqrt[3]{x}} - \frac{1}{\sin^{2} x}

\frac{1}{\sqrt[3]{x}} - \frac{1}{\sin^{2} x}

, *

\frac{1}{3 \sqrt[3]{x^{2}}} - \frac{1}{\sin^{2} x}

\frac{1}{3 \sqrt[3]{x}} + \frac{1}{\cos^{2} x}

Tex:

% tiket 32712 \MsrTabulka[2pt]{0.2\linewidth}{0.75\linewidth} \pocetsloupcu{4}

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