Exercise 4 | Wiskunde op Tilburg University

Consider the function

$f(x)=\ln(x)+\frac{1}{x}$ . Determine

$f'(3)$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$\frac{4}{9}$

Antwoord 2 correct

Fout

Antwoord 3 optie

$-\frac{1}{6}$

Antwoord 3 correct

Fout

Antwoord 4 optie

$\ln(3)+\frac{1}{3}$

Antwoord 4 correct

Fout

Antwoord 1 optie

$\frac{2}{9}$

Antwoord 1 feedback

Correct:

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

$f'(0)=\frac{1}{3}-\frac{1}{9}=\frac{2}{9}$ .

Go on.

Antwoord 2 feedback

Wrong: The derivative of

$\frac{1}{x}$ is not

Antwoord 3 feedback

Wrong:

$\frac{1}{3}-\frac{1}{9} \neq \frac{1}{6}$ .

Try again.

Antwoord 4 feedback

Wrong: The question is not to determine

$f(3)$ .

Try again.