Derivatives of Trigonometric Functions Quiz

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Listen to an AI-generated conversation about this lesson
Download our mobile app to listen on the go
Get App

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 (B)</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 (B)</p>
Signup and view all the answers

Flashcards are hidden until you start studying

Use Quizgecko on...
Browser
Browser