Product and quotient rules

Answer Key - Grade 12 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

1. 1.

   f = 3, f′ = 2, g = 5, g′ = 4. Ari uses the values shown and the product rule. If h(x) = f(x)g(x), what is h′(1)?

   22
2. 2.

   f = 4, f′ = -1, g = 3, g′ = 6. Bo uses the values shown and the product rule. If h(x) = f(x)g(x), what is h′(2)?

   21
3. 3.

   f = -2, f′ = 3, g = 5, g′ = 4. Esme uses the values shown and the product rule. If h(x) = f(x)g(x), what is h′(-1)?

   7
4. 4.

   f = 6, f′ = 5, g = -2, g′ = 3. Jun uses the values shown and the product rule. If h(x) = f(x)g(x), what is h′(3)?

   8
5. 5.

   f = 6, f′ = 1, g = 2, g′ = 3. Kira uses the values shown and the quotient rule. If h(x) = f(x)/g(x), what is h′(1)?

   -4
6. 6.

   f = 2, f′ = 5, g = 3, g′ = -1. Noah uses the values shown and the quotient rule. If h(x) = f(x)/g(x), what is h′(3)?

   17/9
7. 7.

   Pia uses the product rule on h(x) = (x² + 1)(3x − 2), without expanding. What is h′(2)?

   31
8. 8.

   Ren uses the product rule on h(x) = (x² + 3)(2x + 5), without expanding. What is h′(1)?

   22
9. 9.

   Tala uses the product rule on h(x) = (x² − 4)(5x + 1), without expanding. What is h′(3)?

   121
10. 10.

    Zee uses the product rule on h(x) = (x² + 2)(-3x + 6), without expanding. What is h′(-2)?

    -66