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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)=e2x.
f′(x)=e2x
That cannot be determined with only the list of derivatives of elementary functions.
f′(x)=e2
f′(x)=2x⋅e2x
Determine the derivative of f(x)=e2x.
Antwoord 1 correct
Correct
Antwoord 2 optie
f′(x)=e2x
Antwoord 2 correct
Fout
Antwoord 3 optie
f′(x)=e2
Antwoord 3 correct
Fout
Antwoord 4 optie
f′(x)=2x⋅e2x
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 ex?

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

See Derivatives of elementary functions.