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人気のある微分積分 >

(\partial)/(\partial y)(3xcos(y))

解

\frac{\partial}{\partial y} (3 x cos (y))

解

- 3 x sin (y)

解答ステップ

\frac{\partial}{\partial y} (3 x cos (y))

x

を定数として扱う

定数を除去:

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

= 3 x \frac{\partial}{\partial y} (cos (y))

共通の導関数を適用:

\frac{\partial}{\partial y} (cos (y)) = - sin (y)

= 3 x (- sin (y))

簡素化

= - 3 x sin (y)

人気の例

integral of (21)/(x(x^2+4)^2)

\int \frac{21}{x ( x ^{2} + 4 ) ^{2}} d x

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

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

limit as x approaches 1+of 1/(1-x^2)

x \to 1 + lim (\frac{1}{1 - x ^{2}})

derivative f(x)=xe^{x^2}

d er i v a t i v e f (x) = x e^{x^{2}}

derivative (5x^2tan(x))/(sec(x))

d er i v a t i v e \frac{5 x ^{2} tan ( x )}{sec ( x )}