Exercise 2 | Wiskunde op Tilburg University

Determine the derivative of $y(x)=xe^x$ .

Antwoord 1 correct

Correct

Antwoord 2 optie

$y'(x)=e^x$

Antwoord 2 correct

Fout

Antwoord 3 optie

$y'(x)=2xe^x$

Antwoord 3 correct

Fout

Antwoord 4 optie

$y'(x)=xe^x$

Antwoord 4 correct

Fout

Antwoord 1 optie

$y'(x)=(1+x)e^x$

Antwoord 1 feedback

Correct: Via the product rule: $y'(x)=1\cdot e^x+x\cdot e^x=(1+x)e^x$ .

Go on.

Antwoord 2 feedback

Wrong: $y(x)\neq e^x$ .

See Product rule (film).

Antwoord 3 feedback

Wrong: The derivative of $x$ is not equal to $x$ .

See Product rule (film).

Antwoord 4 feedback

Wrong: The derivative of $x$ is not $.