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 >

derivative of h({g}(xk(x)))

解

\frac{d}{d x} (h (g (x) k (x)))

解

hk (x \frac{d}{d x} (g (x)) + g (x))

解答ステップ

\frac{d}{d x} (h (g (x) k (x)))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

= hk \frac{d}{d x} (g (x) x)

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = g (x), g = x

= hk (\frac{d}{d x} (g (x)) x + \frac{d x}{d x} g (x))

\frac{d x}{d x} = 1

= hk (\frac{d}{d x} (g (x)) x + 1 \cdot g (x))

簡素化

= hk (x \frac{d}{d x} (g (x)) + g (x))

人気の例

integral of (x^3+4x)^2(3x^2+4)

\int (x^{3} + 4 x)^{2} (3 x^{2} + 4) d x

integral of (x^3+7)/(x^2+5x+6)

\int \frac{x ^{3} + 7}{x ^{2} + 5 x + 6} d x

(\partial)/(\partial x)(sqrt(4x^2+4y+2z^2))

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

derivative of (x^2+2x/((x+1)^2))

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

derivative y=a^4+cos^4(x)

d er i v a t i v e y = a^{4} + cos^{4} (x)