Funkce a její derivace II

Napsal uživatel ladislav.foltyn dne Po, 06/10/2019 - 14:11.

Project ID:

6000000078

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Question:

Ke každé funkci

f

přiřaďte správně její derivaci

f^{'}

Questions Title:

Funkce:

Answers Title:

Derivace:

Question 1:

f (x) = \frac{\ln x}{x}

Answer 1:

$f^{'} (x) = \frac{1 - \ln x}{x^{2}}$

Question 2:

f (x) = x^{2} \ln x

Answer 2:

$f^{'} (x) = x (2 \ln x + 1)$

Question 3:

f (x) = \ln x + \frac{x^{2}}{2}

Answer 3:

$f^{'} (x) = \frac{x^{2} + 1}{x}$

Question 4:

f (x) = x \ln x^{2}

Answer 4:

$f^{'} (x) = \ln x^{2} + 2$

Question 5:

f (x) = \frac{1}{x} + \frac{\ln^{2} x}{2}

Answer 5:

$f^{'} (x) = \frac{x \ln x - 1}{x^{2}}$

Question 6:

f (x) = x \ln^{2} x

Answer 6:

$f^{'} (x) = \ln x (\ln x + 2)$

Tex:

%tiket 3270454 \NastavOT{2} \NastavOD{2}

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