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人気のある微分積分 >

(\partial)/(\partial u)(sin^2(u))

解

\frac{\partial}{\partial u} (sin^{2} (u))

解

sin (2 u)

解答ステップ

\frac{\partial}{\partial u} (sin^{2} (u))

連鎖法則を適用:

2 sin (u) \frac{\partial}{\partial u} (sin (u))

= 2 sin (u) \frac{\partial}{\partial u} (sin (u))

\frac{\partial}{\partial u} (sin (u)) = cos (u)

= 2 sin (u) cos (u)

2倍角の公式を使用:

2 sin (x) cos (x) = sin (2 x)

= sin (2 u)

人気の例

tangent 18cos(x)+9sin(2x)

t an g e n t 18 cos (x) + 9 sin (2 x)

integral from 0 to 4pi of sqrt(1/2)

\int_{0}^{4 π} \frac{1}{2}

sum from n=1 to infinity of (n^2)/(6^n)

n = 1 \sum \infty \frac{n ^{2}}{6 ^{n}}

normal y=7xe^x,(0,0)

n or ma l y = 7 x e^{x}, (0, 0)

derivative y=sqrt(1/(t(8t+1)))

d er i v a t i v e y = \frac{1}{t ( 8 t + 1 )}