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人気のある代数 >

d/(dt)((x)(sin^2(t)))

解

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

解

\frac{d x}{d t} sin^{2} (t) + sin (2 t) x

解答ステップ

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

積の法則を適用:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin^{2} (t)

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

\frac{d}{d t} (sin^{2} (t)) = sin (2 t)

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

人気の例

因数 (-x^3-2x^2)+(x-2)

f a c t or (- x^{3} - 2 x^{2}) + (x - 2)

因数 (4-x^2)/(x-2)

f a c t or \frac{4 - x ^{2}}{x - 2}

f(x)=(cos(sin(x)))^3

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

f a c t or e^{8} - 1

因数 5a^2z-12xc-4a^2c+15xz

f a c t or 5 a^{2} z - 12 x c - 4 a^{2} c + 15 x z