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人気のある微分積分 >

(\partial)/(\partial x)(sin(3x-2y))

解

\frac{\partial}{\partial x} (sin (3 x - 2 y))

解

cos (3 x - 2 y) \cdot 3

解答ステップ

\frac{\partial}{\partial x} (sin (3 x - 2 y))

y

を定数として扱う

連鎖法則を適用:

cos (3 x - 2 y) \frac{\partial}{\partial x} (3 x - 2 y)

= cos (3 x - 2 y) \frac{\partial}{\partial x} (3 x - 2 y)

\frac{\partial}{\partial x} (3 x - 2 y) = 3

= cos (3 x - 2 y) \cdot 3

人気の例

derivative of ln(x^2-x)

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

tangent y=-3cos(x),\at x=(-pi)/3

t an g e n t y = - 3 cos (x), at x = \frac{- π}{3}

(e^y+1)^2e^{-y}dx+(e^x+1)^3dy=0

(e^{y} + 1)^{2} e^{- y} d x + (e^{x} + 1)^{3} d y = 0

integral of 4e^x+12x^3+4x

\int 4 e^{x} + 12 x^{3} + 4 x d x

tangent f(x)=2sin(x),\at x= pi/4

t an g e n t f (x) = 2 sin (x), at x = \frac{π}{4}