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Let f(x) be a differentiable function. ...

Let `f(x)` be a differentiable function. If `h(x)=(1)/(3) {f(x)}^(3)+{f(x)}^(2)+f(x)+(1)/(3)` then which one of the following is correct ?

A

h(x) increases as f(x) decreases

B

h(x) increases as f(x) increases

C

h(x) always increases whether f(x) increases or decreases

D

nothing definite can be said

Text Solution

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The correct Answer is:
B
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