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受欢迎的函数 >

extreme f(x)=6x^4+11x^3-x^2+x

解答

极值点

f (x) = 6 x^{4} + 11 x^{3} - x^{2} + x

解答

极小值 (- 1.45214 \dots, - 10.56446 \dots)

求解步骤

找到临界点:

x \approx - 1.45214 \dots

6 x^{4} + 11 x^{3} - x^{2} + x

的定义域

: - \infty < x < \infty

Find intervals:

递减

: - \infty < x < - 1.45214 \dots,

递增

: - 1.45214 \dots < x < \infty

将极值点

x = - 1.45214 \dots

代入

6 x^{4} + 11 x^{3} - x^{2} + x \Rightarrow y = - 10.56446 \dots

极小值 (- 1.45214 \dots, - 10.56446 \dots)

作图

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