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人気のある微分積分 >

(\partial)/(\partial y)(e^xtan(y))

解

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

解

e^{x} sec^{2} (y)

解答ステップ

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

x

を定数として扱う

定数を除去:

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

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

共通の導関数を適用:

\frac{\partial}{\partial y} (tan (y)) = sec^{2} (y)

= e^{x} sec^{2} (y)

人気の例

integral of 4x^{-1}-4^x+10e^{2x}-8x

\int 4 x^{- 1} - 4^{x} + 10 e^{2 x} - 8 x d x

derivative of (x-7^2)

\frac{d}{d x} ((x - 7)^{2})

integral of x^3*e^{-x^2}

\int x^{3} \cdot e^{- x^{2}} d x

limit as x approaches infinity of arctan(ln(x))

x \to \infty lim (arctan (ln (x)))

(d^3)/(dx^3)(6/x)

\frac{d ^{3}}{d x ^{3}} (\frac{6}{x})