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DSC1520 ASSESSMENT 2 SEM 2 OF 2026 EXPECTED QUESTIONS AND ANSWERS

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THIS DOCUMENT CONTAINS DSC1520 ASSESSMENT 2 SEM 2 OF 2026 EXPECTED QUESTIONS AND ANSWERS.USE IT AS A GUIDE TO SCORE ABOVE 80%

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ASSESSMENT 2



Question 1
Differentiate:
f (x) = 6x5 + 5x3 + x +5​




Correct Answer: a

Working:
f ′ (x) = 6 ⋅ 5x4 + 5 ⋅ 3x2 + 12 x−1/2 + 0​




f ′ (x) = 30x4 + 15x2 + 2 1 x ​




​




Question 2

Find f ′ (x) for:
f (x) = x2 + 6x + x3 ​




Correct Answer: a

Working:
x3 = x3/2
​




f ′ (x) = 2x + 6 + 32 x1/2
​




Question 3

Find P ′ (x) for:
P (x) = x3 ex
Correct Answer: a

Working (Product Rule):
P ′ (x) = 3x2 ex + x3 ex = ex (x3 + 3x2 )



Question 4

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