Exercise 2 | Wiskunde op Tilburg University

Consider the function

$y(x)=^3\!\log x$ . Approximate by the property of the derivative the change of the function value if

$x$ decreases from

$10$ to

$9$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$^3\!\log \frac{10}{9}$

Antwoord 2 correct

Fout

Antwoord 3 optie

$\dfrac{1}{10}$

Antwoord 3 correct

Fout

Antwoord 4 optie

$\dfrac{1}{10\ln (3)}$

Antwoord 4 correct

Fout

Antwoord 1 optie

$\dfrac{-1}{10\ln (3)}$

Antwoord 1 feedback

Correct:

$\Delta y \approx y'(x)\Delta x=\dfrac{1}{x\ln (3)}\cdot (-1)=\dfrac{-1}{10\ln (3)}$ .

Go on.

Antwoord 2 feedback

Wrong: You are asked for an approximation. Use the derivative.

See Property derivative.

Antwoord 3 feedback

Wrong:

$y'(x)\neq \frac{1}{10}$ .

See Derivatives elementary functions.

Antwoord 4 feedback

Wrong: The value of

$x$ decreases.

Try again.