Derivatives of Trigonometric Functions Quiz

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Questions and Answers

In the given text, what is the relationship between the rates of u and x?

  • The rate of u is 1/3 times the rate of x
  • The rate of u is 3 times the rate of x (correct)
  • The rate of u is the same as the rate of x
  • The rate of u is 2 times the rate of x

What is the relationship between the rates of y and x based on the given information?

  • The rate of y is 1/2 times the rate of x (correct)
  • The rate of y is 2 times the rate of x
  • The rate of y is 3 times the rate of x
  • The rate of y is the same as the rate of x

Which method can be used to find the slope when explicit solution for y is not possible?

  • Implicit Differentiation (correct)
  • Multiplication of Rates
  • Outside/Inside method
  • Chain Rule

What does dy/du represent in the context of the given text?

<p>Rate of change of y with respect to u (C)</p> Signup and view all the answers

What is the relationship between the derivative of outside with respect to inside and derivative of inside in the Outside/Inside method?

<p>$f'(g(x))$ and $g'(x)$ (B)</p> Signup and view all the answers

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