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Class 11

Derivatives and the Rules of Differentiation, Quiz

Five questions on derivatives and the rules of differentiation. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Differentiate 2x3−4x+52x^3 - 4x + 5.
  2. From the definition, f′(3)f^\prime(3) for f(x)=x2f(x) = x^2 is lim⁡h→0(3+h)2−9h\displaystyle\lim_{h \to 0}\frac{(3 + h)^2 - 9}{h}. What is it?
  3. Differentiate xsin⁡xx \sin x.
  4. Differentiate xx+1\displaystyle \dfrac{x}{x + 1}.
  5. What is ddxtan⁡x\displaystyle \dfrac{d}{dx}\tan x?
Unanswered questions are marked wrong.

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