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
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