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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` then 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 of g(x) at (0, 0)

D

g(x) has no extermum

Text Solution

Verified by Experts

The correct Answer is:
D
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