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 >

(\partial)/(\partial y)(e^ycos(x))

解

\frac{\partial}{\partial y} (e^{y} cos (x))

解

cos (x) e^{y}

解答ステップ

\frac{\partial}{\partial y} (e^{y} cos (x))

x

を定数として扱う

定数を除去:

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

= cos (x) \frac{\partial}{\partial y} (e^{y})

共通の導関数を適用:

\frac{\partial}{\partial y} (e^{y}) = e^{y}

= cos (x) e^{y}

人気の例

limit as x approaches 0 of e^{x+1}

x \to 0 lim (e^{x + 1})

integral of cos(t-2x)

\int cos (t - 2 x) d x

integral of (6x^2-3x)

\int (6 x^{2} - 3 x) d x

derivative of log_{6}(2x^3-5x^2)

\frac{d}{d x} (lo g_{6} (2 x^{3} - 5 x^{2}))

integral of tan^2(xse)c^3x

\int tan^{2} (x se) c^{3} x d x