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 5x^2+4sin(x)

解

\frac{d}{d x} (5 x^{2} + 4 sin (x))

解

10 x + 4 cos (x)

解答ステップ

\frac{d}{d x} (5 x^{2} + 4 sin (x))

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (4 sin (x))

\frac{d}{d x} (5 x^{2}) = 10 x

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

= 10 x + 4 cos (x)

グラフ

人気の例

sum from n=0 to infinity of (n/(n+2))^n

n = 0 \sum \infty (\frac{n}{n + 2})^{n}

11x-4ysqrt(x^2+1)(dy)/(dx)=0,y(0)=8

11 x - 4 y x^{2} + 1 \frac{d y}{d x} = 0, y (0) = 8

limit as x approaches 2 of 5/x

x \to 2 lim (\frac{5}{x})

integral from 0 to infinity of 4e^{-x}

\int_{0}^{\infty} 4 e^{- x} d x

integral of (x/(2x+1))

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