PRODUCT RULE USING DERIVATIVES WORKSHEET

Differentiate on paper without simplification:

Problem 1 :

(x + 2) (x² - 2x + 7)

Solution

Problem 2 :

(1 - x³) (7x + 4)

Solution

Problem 3 :

(3x - 5) (x³ + 2x² - 8)

Solution

Problem 4 :

(x² - 2) (5x - x³)

Solution

Problem 5 :

(x² + 3x - 1) (x³ - 4x + 7)

Solution

Problem 6 :

(x³ - 2x + 8) (6 - 5x)

Solution

Problem 7 :

(8x² - 5x) (13x² - 4)

Solution

Problem 8 :

(x5 - 2x³) (7x² + x - 8)

Solution

Problem 9 :

(3 - x³) (8x + 1)

Solution

Answer Key

1)  3x2 + 3

2)  -28x3 - 12x2 + 7

3)  12x3 + 3x2 - 20x - 24

4)  - 3x- 2x3 + 21x2 - 10

5)  7x4 + 12x3 - x2 - 18x + 25

6)  - 20x+ 18x2 + 20x - 52

7)  208x3 - 163x2 - 194x + 20

8)  49x6 + 6x5 - 110x4 - 4x3 + 48x2

9)  - 32x3 - 3x2 + 24

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