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 >

(xtan(x))^'

解

(x tan (x))^{^{'}}

解

tan (x) + x sec^{2} (x)

解答ステップ

(x tan (x))^{'}

積の法則を適用:

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

f = x, g = tan (x)

= x^{^{'}} tan (x) + (tan (x))^{^{'}} x

x^{'} = 1

(tan (x))^{'} = sec^{2} (x)

= 1 \cdot tan (x) + sec^{2} (x) x

簡素化

= tan (x) + x sec^{2} (x)

グラフ

人気の例

integral of (-5)/(sqrt(12-12x^2))

\int \frac{- 5}{12 - 12 x ^{2}} d x

derivative of pi^e

\frac{d}{d x} (π^{e})

limit as h approaches 0 of 2x+h

h \to 0 lim (2 x + h)

limit as x approaches 0 of (3^x-4^x)/x

x \to 0 lim (\frac{3 ^{x} - 4 ^{x}}{x})

sum from n=17 to infinity of (n+8)/(n!)

n = 17 \sum \infty \frac{n + 8}{n !}