Differentiation and Integration Class Test 19 January 2024
Student Name & Surname:…….………………….……………………………
Question A
Differentiate each of the following functions with respect to 𝒙.
1. 𝑓(𝑥) = 5
2. 𝑓(𝑥) = 𝑥
3. 𝑓(𝑥) =
4. 𝑓(𝑥) = 2 √𝑥
Question B
For each problem, find the indicated derivative with respect to 𝒙.
1. 𝑦 = −𝑥 , 𝐹𝑖𝑛𝑑
2. 𝑦 = 3𝑥 − 2𝑥, 𝐹𝑖𝑛𝑑
Question C
Differentiate each function with respect to 𝒙.
1. 𝑓(𝑥) = (𝑥 + 3)
2. 𝑓(𝑥) = √2𝑥 + 1
Question D
Evaluate each indefinite integral.
1. ∫ −3 𝑑𝑥
2. ∫(24𝑥 − 10𝑥)𝑑𝑥
, Question E
Evaluate each definite integral.
1. ∫ (−𝑥 + 3𝑥 + 1)𝑑𝑥
2. ∫ 4𝑥 𝑑𝑥
Student Name & Surname:…….………………….……………………………
Question A
Differentiate each of the following functions with respect to 𝒙.
1. 𝑓(𝑥) = 5
2. 𝑓(𝑥) = 𝑥
3. 𝑓(𝑥) =
4. 𝑓(𝑥) = 2 √𝑥
Question B
For each problem, find the indicated derivative with respect to 𝒙.
1. 𝑦 = −𝑥 , 𝐹𝑖𝑛𝑑
2. 𝑦 = 3𝑥 − 2𝑥, 𝐹𝑖𝑛𝑑
Question C
Differentiate each function with respect to 𝒙.
1. 𝑓(𝑥) = (𝑥 + 3)
2. 𝑓(𝑥) = √2𝑥 + 1
Question D
Evaluate each indefinite integral.
1. ∫ −3 𝑑𝑥
2. ∫(24𝑥 − 10𝑥)𝑑𝑥
, Question E
Evaluate each definite integral.
1. ∫ (−𝑥 + 3𝑥 + 1)𝑑𝑥
2. ∫ 4𝑥 𝑑𝑥
