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If g(x) is a curve which is obtained by ...

If `g(x)` is a curve which is obtained by the reflection of `f(x)=(e^(x)-e^(-x))/(2)` by the line `y=x`. Then

A

g(x) has more than one tangent parallel to x-axis

B

g(x) has more than one tangent parallel to y-axis

C

`y=-x` is a tangent to f(x) at (0,0)

D

g(x) has no extremum

Text Solution

Verified by Experts

The correct Answer is:
D
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