Q. 103.9( 29 Votes )
Prove that the logarithmic function is strictly increasing on (0, ∞).
Answer :
The given function is f(x) = logx
It is clear that for x>0, 
Therefore, f(x) = log x is strictly increasing in interval (0,∞).
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RD Sharma - Volume 1Show that 
, x ≠ 0 is a decreasing function for all x ≠ 0.
Find the intervals in which the following functions are increasing or decreasing.
f(x) = 2x3 + 9x2 + 12x + 20
RD Sharma - Volume 1Mark (√) against the correct answer in the following:
is
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
is increasing in
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
is increasing in
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
is increasing in
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
is increasing in
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
is decreasing for all 
, when
RS Aggarwal - Mathematics
Mark (√) against the correct answer in the following:
The function 
is
RS Aggarwal - Mathematics
