Page 272 - DMTH201_Basic Mathematics-1

Unit 9: Differential Calculus

2. Find the limit of the following functions: Notes
x 2 6x 9
(i) lim
x 3 x 2 2x 3
x 3 – 1
(ii) lim
x 1 x – 1
3. Find derivative of the following functions:
2
(i) y = x – 5x + 10
(ii) y = (x + 1) e x
(iii) y = 10(x + 1)(4 – x)
(iv) y = log x 3

dy
2
2
2
4. Find when y = u + 5, u = v + 2 and v = x – x.
dx
Answers: Self Assessment
1. (a) 2. (a) 3. (a)
4. (a) 5. Polynomial Functions
6. Rational Function 7. Irrational Function

9.10 Further Readings

Books D C Sanchethi and V K Kapoor, Business Mathematics.

Husch, Lawrence S. Visual Calculus, University of Tennessee, 2001.
R S Bhardwaj, Mathematics for Economics and Business, Excel Books, New Delhi, 2005.
Sivayya and Sathya Rao, An Introduction to Business Mathematics.
Smith and Minton. Calculus Early Trancendental, Third Edition. McGraw Hill.2008

Online links http://www.suitcaseofdreams.net/Trigonometric_Functions.htm

http://library.thinkquest.org/20991/alg2/trigi.html
http://www.intmath.com/trigonometric functions/5 signs of trigonometric
functions.php

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