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If f'(x) exists for all x inR and g(x)=f...

If f'(x) exists for all `x inR` and `g(x)=f(x)-(f(x))^2+(f(x))^3forallx inR`, then

A

g(x) is decreasing whenever f(x) is increasing

B

g(x) is increasing whenever f(x) is decreasing

C

g(x) is decreasing whenever f(x) is decreasing

D

none of these

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The correct Answer is:
C
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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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