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Module 7 : Applications of Integration - I

Lecture 19 : Definition of the natural exponential function [Section 9.2]

	PRACTICE EXERCISES
1.	Show that the following functions on are one-one, onto. Find a formula for the inverse function.
(i)
(ii)
(iii)
(iv)

2.	Sketch the following functions:
(i)
(ii)
(iii)

3.	Find linear and quadratic approximations to the following functions near
(i)
(ii)

4.	Show that if is any differentiable function with continuous such that
	then .