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受欢迎的函数 >

critical y=x^{6/7}(x^2-2)

解答

临界点

y = x^{\frac{6}{7}} (x^{2} - 2)

解答

x = - (\frac{3}{5})^{\frac{1}{2}}, x = 0, x = (\frac{3}{5})^{\frac{1}{2}}

求解步骤

x^{\frac{6}{7}} (x^{2} - 2)

找到

f^{'} (x)

等于零或无定义的点

x = - (\frac{3}{5})^{\frac{1}{2}}, x = (\frac{3}{5})^{\frac{1}{2}}, x = 0

确定不在

f (x)

定义域内的临界点

x^{\frac{6}{7}} (x^{2} - 2)

的定义域

: - \infty < x < \infty

所有临界点均在定义域内

x = - (\frac{3}{5})^{\frac{1}{2}}, x = 0, x = (\frac{3}{5})^{\frac{1}{2}}

作图

流行的例子

critical f(x,y)=(3x+4x^3)(y^2+2y)

cr i t i c a l f (x, y) = (3 x + 4 x^{3}) (y^{2} + 2 y)

critical f(x)=log_{2}((2-3x)/(3-x))

cr i t i c a l f (x) = lo g_{2} (\frac{2 - 3 x}{3 - x})

critical (12x+35)/(x(x+7))

cr i t i c a l \frac{12 x + 35}{x ( x + 7 )}

critical f(x)=(x^4-2x^2)^{1/5}

cr i t i c a l f (x) = (x^{4} - 2 x^{2})^{\frac{1}{5}}

critical f(x)=(4x)/(x^2-25)

cr i t i c a l f (x) = \frac{4 x}{x ^{2} - 25}