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2f1 Derivatives big quiz

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20/12/2022
Group: 2F1
Midterm 2
Derivatives
Name: ____________________
Score: _____
A
Differentiate the functions
1) 𝑓(π‘₯) =
2) 𝑓(π‘₯) =
π‘₯ 2 +2
π‘₯ 2 +π‘₯+1
2
(5π‘₯ 2 +3π‘₯−1)2
π‘₯ 2 −π‘₯−1
3) 𝑓(π‘₯) = √2
4) 𝑓(π‘₯) = 𝑙𝑛(√π‘₯ − 1)−2
5) 𝑓(π‘₯) = [π‘₯ 2 sin⁑(π‘₯ − 1)]5
20/12/2022
Group: 2F1
Midterm 2
Derivatives
Name: ____________________
Score: _____
B
Differentiate the functions
1) 𝑓(π‘₯) = 10(3π‘₯ + 1)(1 − 5π‘₯)
1
2) 𝑓(π‘₯) =
2
√4π‘₯ +1
π‘₯
3) 𝑓(π‘₯) = 2𝑒 +2 βˆ™ 3π‘₯
4) 𝑓(π‘₯) = √𝑙𝑛π‘₯ + π‘₯
5) 𝑓(π‘₯) = π‘‘π‘Žπ‘›2 [ln⁑(2π‘₯ + 1)]
20/12/2022
Group: 2F1
Midterm 2
Derivatives
Name: ____________________
Score: _____
C
Differentiate the functions
1) 𝑓(π‘₯) = (π‘₯ 3 − π‘₯ 2 + π‘₯ − 1)(π‘₯ 2 + 2)
2π‘₯−1
2) 𝑓(π‘₯) = √
3) 𝑓(π‘₯) = 𝑒
4) 𝑓(π‘₯) =
5) 𝑓(π‘₯) =
3π‘₯+1
2
−2π‘₯+π‘₯ 2 𝑒 π‘₯ −1
ln⁑(π‘₯ 2 −π‘₯)
𝑒 −π‘₯
π‘₯3
𝑠𝑒𝑐 2 ( 2 )
π‘₯ −1
20/12/2022
Group: 2F1
Midterm 2
Derivatives
Name: ____________________
Score: _____
D
Differentiate the functions
1) 𝑓(π‘₯) =
π‘₯+√3π‘₯
3π‘₯−1
3π‘₯−9 3
)
2π‘₯+4
π‘₯ 3 −𝑒 π‘₯
2) 𝑓(π‘₯) = (
3) 𝑓(π‘₯) = 𝑒
4) 𝑓(π‘₯) = √𝑙𝑛(π‘₯ + 3)2
1+𝑠𝑖𝑛2π‘₯
5) 𝑓(π‘₯) = ln⁑
1−π‘π‘œπ‘ 2π‘₯
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