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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

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The correct Answer is:
D
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