Applications of Derivatives · Monotonicity of functions
Consider the following three statements for the function defined by :
(I) is differentiable at all .
(II) is increasing in .
(III) is decreasing in .
Then.
(I) is differentiable at all .
(II) is increasing in .
(III) is decreasing in .
Then.
- (1)All (I), (II) and (III) are TRUE.
- (2)Only (I) is TRUE.
- (3)Only (II) and (III) are TRUE.
- (4)Only (I) and (III) are TRUE.
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