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인기 있는 기능들 >

extreme f(x)=x^{11}-9x^7+5x-3

해법

극한점

f (x) = x^{11} - 9 x^{7} + 5 x - 3

해법

최대 (- \frac{5.96543 E 15}{2.5 E 15}, - (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} + 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 \frac{5.96543 E 15}{2.5 E 15} - 3), 극히 적은 양 (- \frac{4.34574 E 15}{1.0 E 16}, - (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} + 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} - 5 \frac{4.34574 E 15}{1.0 E 16} - 3), 최대 (\frac{4.34574 E 15}{1.0 E 16}, (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} - 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} + 5 \frac{4.34574 E 15}{1.0 E 16} - 3), 극히 적은 양 (\frac{5.96543 E 15}{2.5 E 15}, (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} - 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 \frac{5.96543 E 15}{2.5 E 15} - 3)

솔루션 단계

중요한 점 찾기:

x = - \frac{5.96543 E 15}{2.5 E 15}, x = - \frac{4.34574 E 15}{1.0 E 16}, x = \frac{4.34574 E 15}{1.0 E 16}, x = \frac{5.96543 E 15}{2.5 E 15}

도메인

x^{11} - 9 x^{7} + 5 x - 3 : - \infty < x < \infty

구간 찾기:

증가하는

: - \infty < x < - \frac{5.96543 E 15}{2.5 E 15},

점점 줄어드는

: - \frac{5.96543 E 15}{2.5 E 15} < x < - \frac{4.34574 E 15}{1.0 E 16},

증가하는

: - \frac{4.34574 E 15}{1.0 E 16} < x < \frac{4.34574 E 15}{1.0 E 16},

점점 줄어드는

: \frac{4.34574 E 15}{1.0 E 16} < x < \frac{5.96543 E 15}{2.5 E 15},

증가하는

: \frac{5.96543 E 15}{2.5 E 15} < x < \infty

극한점을 연결합니다

x = - \frac{5.96543 E 15}{2.5 E 15}

안으로

x^{11} - 9 x^{7} + 5 x - 3 \Rightarrow y = - (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} + 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 \frac{5.96543 E 15}{2.5 E 15} - 3

최대 (- \frac{5.96543 E 15}{2.5 E 15}, - (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} + 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 \frac{5.96543 E 15}{2.5 E 15} - 3)

극한점을 연결합니다

x = - \frac{4.34574 E 15}{1.0 E 16}

안으로

x^{11} - 9 x^{7} + 5 x - 3 \Rightarrow y = - (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} + 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} - 5 \frac{4.34574 E 15}{1.0 E 16} - 3

극히 적은 양 (- \frac{4.34574 E 15}{1.0 E 16}, - (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} + 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} - 5 \frac{4.34574 E 15}{1.0 E 16} - 3)

극한점을 연결합니다

x = \frac{4.34574 E 15}{1.0 E 16}

안으로

x^{11} - 9 x^{7} + 5 x - 3 \Rightarrow y = (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} - 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} + 5 \frac{4.34574 E 15}{1.0 E 16} - 3

최대 (\frac{4.34574 E 15}{1.0 E 16}, (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} - 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} + 5 \frac{4.34574 E 15}{1.0 E 16} - 3)

극한점을 연결합니다

x = \frac{5.96543 E 15}{2.5 E 15}

안으로

x^{11} - 9 x^{7} + 5 x - 3 \Rightarrow y = (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} - 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 \frac{5.96543 E 15}{2.5 E 15} - 3

극히 적은 양 (\frac{5.96543 E 15}{2.5 E 15}, (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} - 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 \frac{5.96543 E 15}{2.5 E 15} - 3)

최대 (- \frac{5.96543 E 15}{2.5 E 15}, - (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} + 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} - 5 \frac{5.96543 E 15}{2.5 E 15} - 3), 극히 적은 양 (- \frac{4.34574 E 15}{1.0 E 16}, - (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} + 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} - 5 \frac{4.34574 E 15}{1.0 E 16} - 3), 최대 (\frac{4.34574 E 15}{1.0 E 16}, (\frac{4.34574 E 15}{1.0 E 16})^{\frac{11}{2}} - 9 (\frac{4.34574 E 15}{1.0 E 16})^{\frac{7}{2}} + 5 \frac{4.34574 E 15}{1.0 E 16} - 3), 극히 적은 양 (\frac{5.96543 E 15}{2.5 E 15}, (\frac{5.96543 E 15}{2.5 E 15})^{\frac{11}{2}} - 9 (\frac{5.96543 E 15}{2.5 E 15})^{\frac{7}{2}} + 5 \frac{5.96543 E 15}{2.5 E 15} - 3)

그래프

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