Q: Encontre os números críticos f(x)=x^3-2x^2-25x+50

\begin{align}&x=\frac{2+\sqrt{79}}{3}\\&x=\frac{2-\sqrt{79}}{3}\end{align}

Q: Encontre os extremos locais f(x)=x^3-2x^2-25x+50

\begin{align}&\textrm{The local minimum is}\textrm{ }\frac{884-158\sqrt{79}}{27}\textrm{ }\textrm{at}\textrm{ }x = \frac{2+\sqrt{79}}{3}\\&\textrm{The local maximum is}\textrm{ }\frac{884+158\sqrt{79}}{27}\textrm{ }\textrm{at}\textrm{ }x = \frac{2-\sqrt{79}}{3}\end{align}

Q: Encontre o intervalo crescente ou decrescente f(x)=x^3-2x^2-25x+50

\begin{align}&\textrm{The increasing interval is}\textrm{ }x \in \left(-\infty,\frac{2-\sqrt{79}}{3}\right]\cup \left[\frac{2+\sqrt{79}}{3},+\infty\right)\\&\textrm{The decreasing interval is}\textrm{ }\frac{2-\sqrt{79}}{3}\leq x\leq \frac{2+\sqrt{79}}{3}\end{align}

Q: Encontre as assíntotas verticais f(x)=x^3-2x^2-25x+50

\textrm{No vertical asymptotes}

Q: Encontre as assíntotas horizontais f(x)=x^3-2x^2-25x+50

\textrm{No horizontal asymptotes}

Q: Teste de simetria sobre a origem f(x)=x^3-2x^2-25x+50

\textrm{Not symmetry with respect to the origin}

Q: Testando a simetria em torno do eixo x f(x)=x^3-2x^2-25x+50

\textrm{Not symmetry with respect to the x-axis}

Question 1

Calcule a derivada f(x)=x^3-2x^2-25x+50

Accepted Answer

f^{\prime}\left(x\right)=3x^{2}-4x-25

Question 2

Encontre o domínio f(x)=x^3-2x^2-25x+50

Accepted Answer

x \in \mathbb{R}

Question 3

ext{Encontre a interceptação }x	ext{ / zero} f(x)=x^3-2x^2-25x+50

Accepted Answer

x_{1}=-5,x_{2}=2,x_{3}=5

Question 4

Encontre a interceptação y f(x)=x^3-2x^2-25x+50

Accepted Answer

f\left(0\right)=50

Question 5

Encontre os números críticos f(x)=x^3-2x^2-25x+50

Accepted Answer

\begin{align}&x=\frac{2+\sqrt{79}}{3}\&x=\frac{2-\sqrt{79}}{3}\end{align}

Question 6

Encontre os extremos locais f(x)=x^3-2x^2-25x+50

Accepted Answer

\begin{align}& extrm{The local minimum is} extrm{ }\frac{884-158\sqrt{79}}{27} extrm{ } extrm{at} extrm{ }x = \frac{2+\sqrt{79}}{3}\& extrm{The local maximum is} extrm{ }\frac{884+158\sqrt{79}}{27} extrm{ } extrm{at} extrm{ }x = \frac{2-\sqrt{79}}{3}\end{align}

Question 7

Encontre o intervalo crescente ou decrescente f(x)=x^3-2x^2-25x+50

Accepted Answer

\begin{align}& extrm{The increasing interval is} extrm{ }x \in \left(-\infty,\frac{2-\sqrt{79}}{3} ight]\cup \left[\frac{2+\sqrt{79}}{3},+\infty ight)\& extrm{The decreasing interval is} extrm{ }\frac{2-\sqrt{79}}{3}\leq x\leq \frac{2+\sqrt{79}}{3}\end{align}

Question 8

Encontre o alcance f(x)=x^3-2x^2-25x+50

Accepted Answer

f\left(x\right) \in \mathbb{R}

Question 9

Encontre as assíntotas verticais f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{No vertical asymptotes}

Question 10

Encontre as assíntotas horizontais f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{No horizontal asymptotes}

Question 11

Encontre as assíntotas oblíquas f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{No oblique asymptotes}

Question 12

Determine se é par, ímpar ou nenhum f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{Neither even nor odd}

Question 13

Encontre os pontos estacionários f(x)=x^3-2x^2-25x+50

Accepted Answer

\left(\frac{2-\sqrt{79}}{3},\frac{884+158\sqrt{79}}{27}\right),\left(\frac{2+\sqrt{79}}{3},\frac{884-158\sqrt{79}}{27}\right)

Question 14

Encontre os pontos de inflexão f(x)=x^3-2x^2-25x+50

Accepted Answer

\begin{align}&\left(\frac{2}{3},\frac{884}{27}\right)\end{align}

Question 15

Teste de simetria sobre a origem f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{Not symmetry with respect to the origin}

Question 16

Testando a simetria em torno do eixo x f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{Not symmetry with respect to the x-axis}

Question 17

Testando a simetria sobre o eixo y f(x)=x^3-2x^2-25x+50

Accepted Answer

extrm{Not symmetry with respect to the y-axis}

f(x)=x^3-2x^2-25x+50

Função

Teste de simetria

图形

常见问题解答

Calcule a derivada \(f(x)=x^3-2x^2-25x+50\)

Encontre o domínio \(f(x)=x^3-2x^2-25x+50\)

$Encontre a intercepta \overset{c}{¸} \overset{a}{˜} o x / zero$ \(f(x)=x^3-2x^2-25x+50\)

Encontre a interceptação y \(f(x)=x^3-2x^2-25x+50\)

Encontre os números críticos \(f(x)=x^3-2x^2-25x+50\)

Encontre os extremos locais \(f(x)=x^3-2x^2-25x+50\)

Encontre o intervalo crescente ou decrescente \(f(x)=x^3-2x^2-25x+50\)

Encontre o alcance \(f(x)=x^3-2x^2-25x+50\)

Encontre as assíntotas verticais \(f(x)=x^3-2x^2-25x+50\)

Encontre as assíntotas horizontais \(f(x)=x^3-2x^2-25x+50\)

Encontre as assíntotas oblíquas \(f(x)=x^3-2x^2-25x+50\)

Determine se é par, ímpar ou nenhum \(f(x)=x^3-2x^2-25x+50\)

Encontre os pontos estacionários \(f(x)=x^3-2x^2-25x+50\)

Encontre os pontos de inflexão \(f(x)=x^3-2x^2-25x+50\)

Teste de simetria sobre a origem \(f(x)=x^3-2x^2-25x+50\)

Testando a simetria em torno do eixo x \(f(x)=x^3-2x^2-25x+50\)

Testando a simetria sobre o eixo y \(f(x)=x^3-2x^2-25x+50\)