The document contains two assignments for a Calculus course. The first assignment asks students to find the domain and derivative of 5 functions. The second assignment asks students to sketch the graph of 5 functions by determining their domain, limits, asymptotes, and points of increasing/decreasing, local extrema and concavity.

1. International Islamic University Malaysia
Kulliyyah of Information and Communication Technology
Calculus CSC 1705
Assignment: 01
Find the domain function f given below and derivative (
𝑑𝑓
𝑑𝑥
) of each function:
1. 𝑓(𝑥) = √ 𝑥 + 2
2. 𝑓(𝑥) = √ 𝑥
3
3. 𝑓(𝑥) =
𝑒 𝑥
𝑥2
4. 𝑓(𝑥) = ln(𝑥2
− 1)
5. 𝑓(𝑥) = √1 − sin(𝑥)
Dateline: 11/05/2015

2. International Islamic University Malaysia
Kulliyyah of Information and Communication Technology
Calculus CSC 1705
Assignment: 02
Sketch the graph of the function f. You have to get: domain, limits, asymptotes, increasing
and decreasing, local extrema, concavity.
1. 𝑓(𝑥) = −
1
3
𝑥3
+ 𝑥2
2. 𝑓(𝑥) = √ 𝑥 + 2
3. 𝑓(𝑥) =
𝑒 𝑥
𝑥2
4. 𝑓(𝑥) = ln(𝑥2
− 1)
5. 𝑓(𝑥) =
4−𝑥2
𝑥2−1
Dateline: 11/05/2015