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人気のある微分積分 >

(d^2)/(dx^2)(x^{8/9}+5x)

解

\frac{d ^{2}}{d x ^{2}} (x^{\frac{8}{9}} + 5 x)

解

- \frac{8}{81 x ^{\frac{10}{9}}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (x^{\frac{8}{9}} + 5 x)

\frac{d}{d x} (x^{\frac{8}{9}} + 5 x) = \frac{8}{9 x ^{\frac{1}{9}}} + 5

= \frac{d}{d x} (\frac{8}{9 x ^{\frac{1}{9}}} + 5)

\frac{d}{d x} (\frac{8}{9 x ^{\frac{1}{9}}} + 5) = - \frac{8}{81 x ^{\frac{10}{9}}}

= - \frac{8}{81 x ^{\frac{10}{9}}}

人気の例

integral from 3 to infinity of 1/x

\int_{3}^{\infty} \frac{1}{x} d x

integral from 0 to 4 of (x^2-4x)

\int_{0}^{4} (x^{2} - 4 x) d x

derivative y=ln(-7x^6)

d er i v a t i v e y = ln (- 7 x^{6})

(\partial)/(\partial x)(xsqrt(1+y^5))

\frac{\partial}{\partial x} (x 1 + y^{5})

slopeintercept (50,5119),(80,7219)

s l o p e in t erce pt (50, 5119), (80, 7219)