Problem

Problem

If g(x)g(x) is a curve which is obtained by the reflection of f(x)=ex−e−x2f(x) = \frac{e^x - e^{-x}}{2} by the line y=xy = x, then a. g(x)g(x) has more than one tangent parallel to X-axis b. g(x)g(x) has more than one tangent parallel to Y-axis c. y=−xy = -x is a tangent to g(x)g(x) at (0,0)(0, 0) d. g(x)g(x) has no extremum

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