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人気のある微分積分 >

(\partial)/(\partial y)(y*ln(x))

解

\frac{\partial}{\partial y} (y \cdot ln (x))

解

ln (x)

解答ステップ

\frac{\partial}{\partial y} (y ln (x))

x

を定数として扱う

定数を除去:

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

= ln (x) \frac{\partial}{\partial y} (y)

共通の導関数を適用:

\frac{\partial}{\partial y} (y) = 1

= ln (x) \cdot 1

簡素化

= ln (x)

人気の例

derivative of 1/3 sqrt((16+x^2^3))

\frac{d}{d x} (\frac{1}{3} (16 + x^{2})^{3})

integral of 1/(sqrt(4x^2-7))

\int \frac{1}{4 x ^{2} - 7} d x

integral from 0 to t of 9e^ssin(t-s)

\int_{0}^{t} 9 e^{s} sin (t - s) d s

derivative f(x)=(2-x)e^x

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

limit as x approaches 0+of 2

x \to 0 + lim (2)