Modul
e 3
: Differentiation and Mean Value Theorems
Lecture
8 : Chain Rule [Section 8.1]
Practice
Exercise 8.2 : Chain rule and applications
Continued . .
4.
Let
be a differentiable function of the variable
such that
. Find the sum of intercepts of the tangent line
to
at every point is equal to
.
5.
Let
. Show that
is a one-one differentiable function. Find
.
6.
. Show that
is one-one and 3 belongs to range of
. Let
and
. Compute
.
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be a differentiable function of the variable 
such that 
. Find the sum of intercepts of the tangent line 
to 
at every point is equal to 
. 
. Show that 
is a one-one differentiable function. Find 
. 
. Show that 
is one-one and 3 belongs to range of 
. Let 
and 
. Compute 
. 
