Master the Quotient Rule in Calculus
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Questions and Answers

Which rule is used to find the derivative of a function that is the ratio of two differentiable functions?

  • Product rule
  • Quotient rule (correct)
  • Chain rule
  • Reciprocal rule

    • What is the derivative of $\tan(x)$?

  • $\cos(x)$
  • $\csc^2(x)$
  • $\sec^2(x)$ (correct)
  • $\sin(x)$

    • What is the derivative of $h(x) = \frac{e^x}{x^2}$?

  • $h'(x) = \frac{e^x}{x^2}$
  • $h'(x) = \frac{e^x}{x^2} + \frac{2e^x}{x}$ (correct)
  • $h'(x) = \frac{e^x}{2x}$
  • $h'(x) = \frac{2e^x}{x}$

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