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人気のある微分積分 >

(d^2)/(dx^2)(4x\sqrt[3]{x})

解

\frac{d ^{2}}{d x ^{2}} (4 x 3 x)

解

\frac{16}{9 x ^{\frac{2}{3}}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (4 x 3 x)

簡素化

4 x 3 x : 4 x^{\frac{4}{3}}

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

\frac{d}{d x} (4 x^{\frac{4}{3}}) = \frac{16 3 x}{3}

= \frac{d}{d x} (\frac{16 3 x}{3})

\frac{d}{d x} (\frac{16 3 x}{3}) = \frac{16}{9 x ^{\frac{2}{3}}}

= \frac{16}{9 x ^{\frac{2}{3}}}

人気の例

integral from 1 to 3 of (x^2+2x-4)

\int_{1}^{3} (x^{2} + 2 x - 4) d x

sum from n=1 to infinity of (5^n)/(3^n)

n = 1 \sum \infty \frac{5 ^{n}}{3 ^{n}}

integral of 1/((x^2+y^2)^{3/2)}

\int \frac{1}{( x ^{2} + y ^{2} ) ^{\frac{3}{2}}} d x

3y^{''}-24y^'+36y=6sin(2x)

3 y^{^{''}} - 24 y^{^{'}} + 36 y = 6 sin (2 x)

integral from 1 to 3 of 2/(4+(x-1)^2)

\int_{1}^{3} \frac{2}{4 + ( x - 1 ) ^{2}} d x