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人気のある微分積分 >

derivative of cos(2x+3y)

解

\frac{d}{d x} (cos (2 x + 3 y))

解

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

解答ステップ

\frac{d}{d x} (cos (2 x + 3 y))

連鎖法則を適用:

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

= - sin (2 x + 3 y) \frac{d}{d x} (2 x + 3 y)

\frac{d}{d x} (2 x + 3 y) = 2 + 3 \frac{d y}{d x}

= - sin (2 x + 3 y) (2 + 3 \frac{d y}{d x})

人気の例

y^{''}-16y^'+63y=240e^x

y^{^{''}} - 16 y^{^{'}} + 63 y = 240 e^{x}

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

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

tangent f(x)= 3/(5x+2),\at x=-1

t an g e n t f (x) = \frac{3}{5 x + 2}, at x = - 1

integral of (2x+1)^{5/6}

\int (2 x + 1)^{\frac{5}{6}} d x

(\partial)/(\partial x)(32x+13y+90)

\frac{\partial}{\partial x} (32 x + 13 y + 90)