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人気のある微分積分 >

derivative of (sin(x)^3)

解

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

解

3 sin^{2} (x) cos (x)

解答ステップ

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

連鎖法則を適用:

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

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

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

= 3 (sin (x))^{2} cos (x)

簡素化

= 3 sin^{2} (x) cos (x)

グラフ

人気の例

1/4 y^{''}+4y=tan(4t)-1/2 e^{3t}

\frac{1}{4} y^{^{''}} + 4 y = tan (4 t) - \frac{1}{2} e^{3 t}

limit as x approaches 0 of (11^x-10^x)/x

x \to 0 lim (\frac{1 1 ^{x} - 1 0 ^{x}}{x})

derivative G(t)=(4t)/(t+5)

d er i v a t i v e G (t) = \frac{4 t}{t + 5}

derivative of arcsin(3x-4x^3)

\frac{d}{d x} (arcsin (3 x - 4 x^{3}))

derivative log_{3}(11)p^3

d er i v a t i v e lo g_{3} (11) p^{3}