ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある微分積分 >

(d^3)/(dx^3)(x(2x-5)^3)

解

\frac{d ^{3}}{d x ^{3}} (x (2 x - 5)^{3})

解

192 x - 360

解答ステップ

\frac{d ^{3}}{d x ^{3}} (x (2 x - 5)^{3})

\frac{d}{d x} (x (2 x - 5)^{3}) = (2 x - 5)^{3} + 6 x (2 x - 5)^{2}

= \frac{d ^{2}}{d x ^{2}} ((2 x - 5)^{3} + 6 x (2 x - 5)^{2})

\frac{d}{d x} ((2 x - 5)^{3} + 6 x (2 x - 5)^{2}) = 96 x^{2} - 360 x + 300

= \frac{d}{d x} (96 x^{2} - 360 x + 300)

\frac{d}{d x} (96 x^{2} - 360 x + 300) = 192 x - 360

= 192 x - 360

人気の例

integral of 5/244 x^4

\int \frac{5}{244} x^{4} d x

integral of cos^2(x)sin(x)

\int cos^{2} (x) sin (x) d x

integral of (x^2)/((x-3)(x+2)^2)

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

(\partial)/(\partial x)(x^3-2y^2-2y^4+3x^2y)

\frac{\partial}{\partial x} (x^{3} - 2 y^{2} - 2 y^{4} + 3 x^{2} y)

limit as x approaches infinity of (e^{1-ln(x)})/(e^{1-ln(x)2)}

x \to \infty lim (\frac{e ^{1 - l n (x)}}{e ^{1 - l n (x) 2}})