Page 349 - DMTH201_Basic Mathematics-1

Basic Mathematics – I

Notes 6. Find maxima, minima and the point of inflexion of the following function:
2 3
y 4r x 4rx 2 x 1 , where 0 < r < 1.
1
7. Show that the curve y 2x 3 is convex from below for positive values of x and
x
c
concave from below for negative values of x. Is the same true of the curve y ax b ?
x

Answers: Self Assessment

1. (a) 2. (c)

3. (d) 4. (a)
5. (a)

13.7 Further Readings

Books Husch, Lawrence S. Visual Calculus, University of Tennessee, 2001.
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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