Finding Derivatives of Sums, Products, Differences & Quotients


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Which of the following are true statements?

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1. If the derivative of x is 1 and the derivative of sin(x) is cos(x), what is the derivative of f(x) = x + sin(x).

2. If the derivative of 9x 4 is 36x 3, and the derivative of 2x is 2, what is the derivative of h(x) = 9x 4 - 2x?

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About This Quiz & Worksheet

On this quiz and worksheet, you can find questions about derivatives of sums, products, differences, and quotients. You will find several practice problems inside.

Quiz & Worksheet Goals

Expect the following topics on this combination quiz and worksheet:

  • The sum rule
  • The quotient rule
  • The product rule
  • The difference rule
  • Finding derivatives

Skills Practiced

  • Practice problems - use what you have learned to solve problems involving derivatives
  • Making connections - see how using formulas helps you to find derivatives
  • Information recall - think back to what you learned about the rules of products, quotients, differences, and sums

Additional Learning

To brush up on your skills, visit the lesson titled Finding Derivatives of Sums, Products, Differences & Quotients. In it, you can see topics that are listed below:

  • Binomials
  • Natural logs
  • Memorization of formulas
  • First and second functions