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人気のある微分積分 >

(\partial)/(\partial u)(3vsin(u))

解

\frac{\partial}{\partial u} (3 v sin (u))

解

3 v cos (u)

解答ステップ

\frac{\partial}{\partial u} (3 v sin (u))

v

を定数として扱う

定数を除去:

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

= 3 v \frac{\partial}{\partial u} (sin (u))

共通の導関数を適用:

\frac{\partial}{\partial u} (sin (u)) = cos (u)

= 3 v cos (u)

人気の例

derivative of (2^x/x)

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

limit as x approaches 0 of ((5^x-7^x))/x

x \to 0 lim (\frac{( 5 ^{x} - 7 ^{x} )}{x})

derivative of (-2x^3+x^2-2x-1x^3)

\frac{d}{d x} ((- 2 x^{3} + x^{2} - 2 x - 1) x^{3})

(\partial)/(\partial v)({u}(v)(v)^2e^v)

\frac{\partial}{\partial v} (u (v) (v)^{2} e^{v})

derivative of (dy/(dx))=0

\frac{d}{d x} (\frac{d y}{d x}) = 0