Differentiation and the Product Rule
5 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the derivative of $f(x) = (3x - 5x^2)^7$?

  • $7(3-10x)^6 + 14x$
  • $7(3-10x)^6$
  • $7(3-10x)(3x-5x^2)^6 + 14x$
  • $7(3-10x)(3x-5x^2)^6$ (correct)

    • What is the derivative of $f(x) = 3(x^2 - 1)^2$?

  • $6x(x^2-1)$ (correct)
  • $6(x^2-1)$
  • $6x(x^2-1) + 4x$
  • $6(x^2-1) + 4x$

    • What is the derivative of $f(t) = -7(2t-3)^2$?

  • $14(2t-3)^{-3}$
  • $14(2t-3)$
  • $-14(2t-3)$ (correct)
  • $-14(2t-3)^{-3}$

    • What is the derivative of $f(x) = rac{3x^2-x+1}{(3x^2-x+1)^{1/3}}$ using the outside/inside method of chain rule?

    <p>$rac{(6x-1)(3x^2-x+1)^{2/3}}{(3x^2-x+1)^{1/3}}$</p> Signup and view all the answers

    What is the derivative of $f(x) = xrac{1-x^2}{2}$ using the product rule?

    <p>$rac{x+x^3}{2}$</p> Signup and view all the answers

    More Like This

    Use Quizgecko on...
    Browser
    Open
    Browser
    Browser