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

Exercise 3

Determine the derivative of g(t)=1t2.
g′(t)=−2t3
That cannot be determined with only the list of derivatives of elementary functions.
g′(t)=12t
g′(t)=12t3
Determine the derivative of g(t)=1t2.
Antwoord 1 correct
Correct
Antwoord 2 optie
That cannot be determined with only the list of derivatives of elementary functions.
Antwoord 2 correct
Fout
Antwoord 3 optie
g′(t)=12t
Antwoord 3 correct
Fout
Antwoord 4 optie
g′(t)=12t3
Antwoord 4 correct
Fout
Antwoord 1 optie
g′(t)=−2t3
Antwoord 1 feedback
Correct: g(t)=1t2=t−2.

g′(t)=−2t−3=−2t3.

Go on.
Antwoord 2 feedback
Wrong: Check the power functions.

See Derivatives elementary functions and Negative integer power functions.
Antwoord 3 feedback
Wrong: Rewrite the function to the standard form of a power function.

See Derivatives elementary functions and Negative integer power functions.
Antwoord 4 feedback
Wrong: Rewrite the function to the standard form of a power function.

See Derivatives elementary functions and Negative integer power functions.