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f(x)=(e^(2x)-1)/(e^(2x)+1) is...

`f(x)=(e^(2x)-1)/(e^(2x)+1)` is

A

an increasing

B

a decreasing

C

an even

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Given, `f(x)=(e^(2x)-1)/(e^(2x)+1)`
`:." "f(-x)=(e^(-2x)-1)/(e^(-2x)+1)=-f(x)`
`:." f(x) is an odd function."`
Now, `f'(x)=(4e^(2x))/((1+e^(2x))^(2))gt0,AAx in R`
`implies" f(x) is an increasing function."`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-PRACTICE SET 14-Paper 2 (Mathematics)
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