Differentiate using the product rule – Hard (A Level Only)
For the teaching video to learn this skill and see lots of worked examples, watch the video over on YouTube.
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Question 1 of 25
1. Question
Differentiate using the product rule: 4x^5 cos(7x)
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Question 2 of 25
2. Question
Differentiate using the product rule: 8x^5 sin(2x)
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Question 3 of 25
3. Question
Differentiate using the product rule: 2x^4 cos(8x)
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Question 4 of 25
4. Question
Differentiate using the product rule: 3x^8 sin(4x)
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Question 5 of 25
5. Question
Differentiate using the product rule: 6x^9 sin(8x)
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Question 6 of 25
6. Question
Differentiate using the product rule: 4x^4 cos(6x)
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Question 7 of 25
7. Question
Differentiate using the product rule: 8x^8 sin(3x)
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Question 8 of 25
8. Question
Differentiate using the product rule: 3x^7 cos(5x)
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Question 9 of 25
9. Question
Differentiate using the product rule: 8e^{5x} sin(6x)
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Question 10 of 25
10. Question
Differentiate using the product rule: 2e^{4x} cos(3x)
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Question 11 of 25
11. Question
Differentiate using the product rule: 9e^{3x} cos(3x)
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Question 12 of 25
12. Question
Differentiate using the product rule: 2e^{4x} cos(8x)
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Question 13 of 25
13. Question
Differentiate using the product rule: 5e^{3x} cos(7x)
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Question 14 of 25
14. Question
Differentiate using the product rule:4e^{3x} sin(7x)
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Question 15 of 25
15. Question
Differentiate using the product rule: 7e^3x sin(4x)
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Question 16 of 25
16. Question
Differentiate using the product rule: 7e^{2x} cos(2x)
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Question 17 of 25
17. Question
Differentiate using the product rule: 2 sin(4x) ln(x^8 )
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Question 18 of 25
18. Question
Differentiate using the product rule: 5 cos(3x) ln(x^6 )
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Question 19 of 25
19. Question
Differentiate using the product rule: 3 cos(5x) ln(x^4 )
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Question 20 of 25
20. Question
Differentiate using the product rule: 6 sin(6x) ln(x^8 )
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Question 21 of 25
21. Question
Differentiate using the product rule: 8 cos(7x) ln(x^8 )
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Question 22 of 25
22. Question
Differentiate using the product rule: 8 sin(8x) ln(x^6 )
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Question 23 of 25
23. Question
Differentiate using the product rule: 5 sin(x) ln(x^4 )
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Question 24 of 25
24. Question
Differentiate using the product rule: 2 sin(x) ln(x^2 )
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Question 25 of 25
25. Question
Differentiate using the product rule: 7 sin(3x) ln(x^4 )
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