ENGINEERING MATHEMATICS Lecture – 4 / Derivatives of a Function Fall Semester 2018 Instructor Twana A. Hussein – MSc. Structural Engineering Twana. ahmad@ishik. edu. iq Civil Engineering Dept. Ishik University
Ishik University The process for finding the derivative is called differentiation, In this lecture, we will use d/dx notation to signify differentiation as an operation and employ some basic rules in order to find the derivative. 2 .
Ishik University 3 .
Ishik University 4 .
Ishik University 5 .
Ishik University 6 .
Ishik University 7 .
Ishik University Notice also that the constant term 7 yielded 0 8 .
Ishik University 9 .
Ishik University 10 .
Ishik University 11 .
Ishik University 12 .
Ishik University 13 .
Ishik University 14 .
Ishik University 15 .
Ishik University 16 .
Ishik University 17 .
Ishik University 18 .
Ishik University 19 .
Ishik University 7 - Chain Rule: The chain rule is used to differentiate composite functions. As such, it is a vital tool for differentiating most functions of a certain complexity. It states: . 20 .