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人気のある微分積分 >

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

解

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

解

sin (x - y)

解答ステップ

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

x

を定数として扱う

連鎖法則を適用:

- sin (x - y) \frac{\partial}{\partial y} (x - y)

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

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

= - sin (x - y) (- 1)

簡素化

= sin (x - y)

人気の例

limit as x approaches 4-of 3(x)-5

x \to 4 - lim (3 (x) - 5)

derivative of (8e^x+5e^{-x}/8)

\frac{d}{d x} (\frac{8 e ^{x} + 5 e ^{- x}}{8})

derivative f(x)=sqrt(10-5x)

d er i v a t i v e f (x) = 10 - 5 x

integral of (4x^5+2x^3+x-1)/(x^2)

\int \frac{4 x ^{5} + 2 x ^{3} + x - 1}{x ^{2}} d x

integral of (1/(x^9)-x^9-1/2)

\int (\frac{1}{x ^{9}} - x^{9} - \frac{1}{2}) d x