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Let f(x)=ax^p+bx^q+cx+d then f(x)=p(ax^(p-1))+q(bx^(q-1)+cx^0) Also, if f (k) = 0, then f (k) will give local maxima or local minima. Also, if there are various peak values of a graph then the highest peak value is called the absolute or global maximum and rest are called the local maxima. Similarly absolute or global minimum and local minima too can be defined.f(x)=x^3+bx^2+cx+dis a cubic polynomial such that 0ltb^2ltc , then is the interval of all the real numbers (-oo,oo)

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F(x) is a striedy INCREASING function
f(x) is a strictly DECREASING function
f(x) has a local maxima
f(x)has a local minima

Answer :A


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