Please help ASAP
f(x) = x^3 - 2x^2 - 8x
Is f(x) increasing on the interval (-2,-1]?

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Ответ:

leslyvargas230

03.12.2021

Mathematics

By the fundamental theorem of calculus,

$E(t)=E(1)+\displaystyle\int_1^t E'(u)\,\mathrm du$

So we have

$E(t)=92+\displaystyle\int_1^t(75-6u)\,\mathrm du$

$E(t)=92+(75u-3u^2)\bigg|_1^t$

E(t)=20 + 75 t - 3 t^2

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Please help ASAP f(x) = x^3 - 2x^2 - 8x Is f(x) increasing on the interval (-2,-1]?