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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 to f(x) at (0,0)

D

g(x) has no extremum

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The correct Answer is:
D
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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
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  2. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

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  3. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

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  6. The function in which Rolle's theorem is verified is:

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  7. f(x)={:{(max g(t), 0let le x , 0le x lepi/2),(min g(t) , xlet lt 0, -p...

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  8. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

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  9. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

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  10. A is a set containing n(1) elements and B is another set containing n(...

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  15. If f: RvecRa n dg: RvecR are two functions such that f(x)+f^(x)=-xg(x)...

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