数值分析作业2
T 4
解:
(1) x=5−x32x = \frac{5-x^3}{2}x=25−x3
ϕ(x)=5−x32\phi(x) = \frac{5-x^3}{2}ϕ(x)=25−x3 ,当x ∈[1,2]\in [1,2]∈[1,2]时有:
ϕ′(x)=−3x22<0
\phi^{'}(x) = -\frac{3x^{2}}{2} < 0
ϕ′(x)=−23x2<0
∣ϕ′(x)∣=∣3x22∣≥3∗132=1.5>1
\lvert \phi^{'}(x) \rv
原创
2022-03-05 15:50:10 ·
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