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受欢迎的函数 >

inflection f(x)= 3/(x^2+4)

解答

拐点

f (x) = \frac{3}{x ^{2} + 4}

解答

(- \frac{2}{3}, \frac{9}{16}), (\frac{2}{3}, \frac{9}{16})

求解步骤

f^{''} (x) = - \frac{6 ( - 3 x ^{2} + 4 )}{( x ^{2} + 4 ) ^{3}}

Find intervals:

向上凹

: - \infty < x < - \frac{2}{3},

向下凹

: - \frac{2}{3} < x < \frac{2}{3},

向上凹

: \frac{2}{3} < x < \infty

将

x = - \frac{2}{3}

代入

\frac{3}{x ^{2} + 4} : \frac{9}{16}

(- \frac{2}{3}, \frac{9}{16})

将

x = \frac{2}{3}

代入

\frac{3}{x ^{2} + 4} : \frac{9}{16}

(\frac{2}{3}, \frac{9}{16})

(- \frac{2}{3}, \frac{9}{16}), (\frac{2}{3}, \frac{9}{16})

作图

流行的例子

求反函数 f(x)= 2/9 x+10/9

in v erse f (x) = \frac{2}{9} x + \frac{10}{9}

extreme f(x)=17x^4-102x^2

e x t re m e f (x) = 17 x^{4} - 102 x^{2}

求反函数 f(x)=ln(8x),x>0

in v erse f (x) = ln (8 x), x > 0

直线 (1,5),(2,3)

l in e (1, 5), (2, 3)

中点 (12,2),(-5,-7)

mi d p o in t (12, 2), (- 5, - 7)