Consider the cubic fx - 8x3 - 4ax2 - 2bx - a- where a- b- - R-For b - 1- if y - fx is non monotonic then the sum of all the integral values of a - -1- 100- is

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Consider the cubic $f (x) = 8 x^{3} + 4 a x^{2} + 2 b x + a$ , where $a, b, \in R$ .
For $b = 1$ , if $y = f (x)$ is non monotonic then the sum of all the integral values of $a ϵ [1, 100]$ , is

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Similar questions

f (x) = 8 x^{3} + 4 a x^{2} + 2 b x + a

a, b, \in R

a = 1

y = f (x)

\forall x \in R

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f (x) = 8 x^{3} + 4 a x^{2} + 2 b x + a

a, b, \in R

2

f (x) = 0

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a

f (x) = (\frac{a^{2} - 1}{3}) x^{3} + (a - 1) x^{2} + 2 x + 1

x ϵ R

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a ϵ (- \infty, k] \cup (m, \infty)

k + 6 m

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f (x)

f (x)

f (x) = ⎧ ⎨ ⎩ \begin{matrix} \frac{b^{3} + b - 2 b^{2} - 2}{b^{2} + 5 b + 6} - x^{2}; & 0 \leq x < 1 3 x - 4; & 1 \leq x \leq 3 \end{matrix}

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