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If f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)lt...

If `f(x)=x^(3)+bx^(2)+cx+dand 0 ltb^(2)ltc,` then in `(-oo,oo)`

A

f(x) is strictly increasing function

B

f(x) has a local maxima

C

f(x) is strictly decreasing function

D

f(x) is bounded

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The correct Answer is:
A
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ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
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  4. If f(x)=x^(2)+2bx+2c^(2)and g(x)=-x^(2)-2cx+b^(2), such that minf(x)gt...

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  10. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  11. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  12. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  16. Let p(x) be a real polynomial of least degree which has a local maximu...

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  17. Let f be a function defined on R (the set of all real numbers) such th...

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