Chemical Engineering

Year 1 / Semester 1

Notes:School of Engineering

August 2014 Intake

Dr. Abdulkareem Sh. Mahdi

Engineering Mathematics 1 (MTH60103)

Differentiation – part i
1

September 6, 2014

2

Learning outcomes

At the end of this lecture, you should be able to:

(1) Evaluate the limits of functions;
(2) Differentiate using the FIRST PRINCIPLES;
(3) Differentiate using the standard formulae
(4) Differentiate using the rules of

Dr. Abdulkareem Sh. Mahdi

September 6, 2014

i- Constant, ii- Power, iii- Constant multiple, iv- Sum (Difference) v- Product Rule, vi- Quotient Rule. vii- Chain Rule https://www.khanacademy.org/math/differential-calculus Notes:-

School of Engineering

Year 1 / Semester 1

Engineering Mathematics 1 (MTH60103)

August 2014 Intake

Differentiation – part i

Year 1 / Semester 1
August 2014 Intake

Rule 6

Notes:Dr. Abdulkareem Sh. Mahdi

Lecture Roadmap

School of Engineering

Engineering Mathematics 1 (MTH60103)

Differentiation – part i
3

September 6, 2014

4

Learning outcomes
At the end of this lecture, you should be able to:

(1) Evaluate the limits of functions;
(2) Differentiate using the FIRST PRINCIPLES;
(3) Differentiate using the standard formulae
(4) Differentiate using the rules of i- Constant, ii- Power, iii- Constant multiple, iv- Sum (Difference).
Notes:-

Dr. Abdulkareem Sh. Mahdi

September 6, 2014

School of Engineering

Year 1 / Semester 1

Engineering Mathematics 1 (MTH60103)

August 2014 Intake

Differentiation – part i

5

What is the function?

1)Function: a value of one variable quantity, which we may call y, depends on the value of another variable quantity, which we may call x. We say that

“y is a function of x”
Notes:-

Dr. Abdulkareem Sh. Mahdi

September 6, 2014

School of Engineering

Year 1 / Semester 1

Engineering Mathematics 1 (MTH60103)

August 2014 Intake

Differentiation – part i