Derivatives of Trigonometric Functions Quiz
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Questions and Answers

In the given context, what does it mean when it is stated that 'u turns 3 times as fast as x'?

  • The rate of change of x with respect to u is 3
  • The rate of change of u with respect to x is 3
  • The rate of change of u with respect to x is divided by 3
  • The rate of change of u with respect to x is multiplied by 3 (correct)

    • According to the given information, how fast does y turn in relation to x?

  • y turns 4 times slower than x
  • y turns 3 times faster than x
  • y turns twice as fast as x
  • y turns half as fast as x (correct)

    • What does the equation dy/dx = f'(g(x)) * g'(x) represent in the context of the given text?

  • Chain rule for derivatives (correct)
  • Inverse function equation
  • Implicit differentiation equation
  • Rate of change equation

    • In the context provided, what does the Outside/Inside method of chain rule refer to?

    <p>Differentiating the outside function first and then differentiating the inside function</p> Signup and view all the answers

    What does implicit differentiation allow us to find when we cannot solve explicitly for y?

    <p>Slope of the curve at a given point</p> Signup and view all the answers

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