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人気のある微分積分 >

(\partial)/(\partial y)(cos(x)cosh(y))

解

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

解

cos (x) sinh (y)

解答ステップ

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

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} (cosh (y))

共通の導関数を適用:

\frac{\partial}{\partial y} (cosh (y)) = sinh (y)

= cos (x) sinh (y)

人気の例

(\partial)/(\partial x)(sin(x+t))

\frac{\partial}{\partial x} (sin (x + t))

limit as x approaches-9+of 1/((x+9)^2)

x \to - 9 + lim (\frac{1}{( x + 9 ) ^{2}})

integral of (x^3)/(sqrt(36-x^2))

\int \frac{x ^{3}}{36 - x ^{2}} d x

limit as x approaches-10+of f(x)

x \to - 10 + lim (f (x))

integral of 3sin(x/3)

\int 3 sin (\frac{x}{3}) d x