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  3. Chapter 2: Differentiation of functions of one variable
  4. Derivative
  5. Derivatives elementary functions
  6. Exercise 2

Exercise 2

Determine the derivative of $f(x)=e^{2x}$.
That cannot be determined with only the list of derivatives of elementary functions.
$f'(x)=e^{2x}$
$f'(x)=e^2$
$f'(x)=2x\cdot e^{2x}$
Determine the derivative of $f(x)=e^{2x}$.
Antwoord 1 correct
Correct
Antwoord 2 optie
$f'(x)=e^{2x}$
Antwoord 2 correct
Fout
Antwoord 3 optie
$f'(x)=e^2$
Antwoord 3 correct
Fout
Antwoord 4 optie
$f'(x)=2x\cdot e^{2x}$
Antwoord 4 correct
Fout
Antwoord 1 optie
That cannot be determined with only the list of derivatives of elementary functions.
Antwoord 1 feedback
Correct: We need the chain rule to determine the derivative of this function.

Go on.
Antwoord 2 feedback
Wrong: What is the derivative of $2x$?

See Derivatives of elementary functions.
Antwoord 3 feedback
Wrong: What is the derivative of $e^x$?

See Derivatives of elementary functions.
Antwoord 4 feedback
Wrong: What is the derivative of $2x$?

See Derivatives of elementary functions.