Exercise 1 | Wiskunde op Tilburg University

Determine the derivative of

$f(x)=(x^2+3)^2+3$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$f'(x)=2x(x^2+3)$

Antwoord 2 correct

Fout

Antwoord 3 optie

$f'(x)=2x(x^2+3)+3$

Antwoord 3 correct

Fout

Antwoord 4 optie

$f'(x)=4x(x^2+3)+3$

Antwoord 4 correct

Fout

Antwoord 1 optie

$f'(x)=4x^3+12x$

Antwoord 1 feedback

Correct:

$\begin{align*} f'(x) & = 2(x^2+3)\cdot 2x\\ & = 4x^3+12x. \end{align*}$

Go on.

Antwoord 2 feedback

Wrong: Do not forget the outside square.

See Chain rule.

Antwoord 3 feedback

Wrong: What is the derivative of 3?

Try again.

Antwoord 4 feedback

Wrong: What is the derivative of 3?

Try again.