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Class 12

Techniques of Differentiation — Quiz

Five questions on the chain rule, standard derivatives, implicit and parametric differentiation. Pick one answer for each.

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

  1. ddxsin⁡(4x2−1)\displaystyle \dfrac{d}{dx}\sin(4x^2 - 1) equals
  2. ddxlog⁡(x2+9)\displaystyle \dfrac{d}{dx}\log(x^2 + 9) equals
  3. ddxtan⁡−1(5x)\displaystyle \dfrac{d}{dx}\tan^{-1}(5x) equals
  4. If x3+y3=9x^3 + y^3 = 9, then dydx\displaystyle \dfrac{dy}{dx} equals
  5. If x=t3x = t^3 and y=t2y = t^2, then dydx\displaystyle \dfrac{dy}{dx} equals
Unanswered questions are marked wrong.

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