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人気のある微分積分 >

(\partial)/(\partial z)(-y^2sin(z))

解

\frac{\partial}{\partial z} (- y^{2} sin (z))

解

- y^{2} cos (z)

解答ステップ

\frac{\partial}{\partial z} (- y^{2} sin (z))

y

を定数として扱う

定数を除去:

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

= - y^{2} \frac{\partial}{\partial z} (sin (z))

共通の導関数を適用:

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

= - y^{2} cos (z)

人気の例

limit as x approaches-1+of (x+2x^3)^4

x \to - 1 + lim ((x + 2 x^{3})^{4})

integral of (y^{3/2})^2

\int (y^{\frac{3}{2}})^{2} d y

y^{''}+9y=18-18e^{-t},y(0)=0,y^'(0)=0

y^{^{''}} + 9 y = 18 - 18 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

integral of 2csc(y)(cot(y)-csc(y))

\int 2 csc (y) (cot (y) - csc (y)) d y

tangent x^3+12x^2+8

t an g e n t x^{3} + 12 x^{2} + 8