Application of DerivativeHard
Question
If g(x) is a curve which is obtained by the reflection of f(x) =
by the line y = x then
Options
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 g(x) at (0, 0)
D.g(x) has no extremum
Solution
f′(x) =
> 0
∴ f(x) increasing
hence g(x) is also increasing function
∴ f(x) increasing
hence g(x) is also increasing function
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