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人気のある微分積分 >

(d^3)/(dx^3)(sin(2x))

解

\frac{d ^{3}}{d x ^{3}} (sin (2 x))

解

- 8 cos (2 x)

解答ステップ

\frac{d ^{3}}{d x ^{3}} (sin (2 x))

\frac{d}{d x} (sin (2 x)) = cos (2 x) \cdot 2

= \frac{d ^{2}}{d x ^{2}} (cos (2 x) \cdot 2)

\frac{d}{d x} (cos (2 x) \cdot 2) = - 4 sin (2 x)

= \frac{d}{d x} (- 4 sin (2 x))

\frac{d}{d x} (- 4 sin (2 x)) = - 8 cos (2 x)

= - 8 cos (2 x)

人気の例

面積 x^2-4x,0

a re a x^{2} - 4 x, 0

derivative of (2(16-x^2)/((16+x^2)^2))

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

integral of (cos(x)+sin(x))

\int (cos (x) + sin (x)) d x

derivative of asin(5x)

\frac{d}{d x} (a sin (5 x))

limit as x approaches-3 of (x^2)/(x^2-9)

x \to - 3 lim (\frac{x ^{2}}{x ^{2} - 9})