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人気のある前微積分 >

derivative f(x)=ln(sin^2(x))

解

導関数

f (x) = ln (sin^{2} (x))

解

2 cot (x)

解答ステップ

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

連鎖法則を適用:

\frac{1}{sin ^{2} ( x )} \frac{d}{d x} (sin^{2} (x))

= \frac{1}{sin ^{2} ( x )} \frac{d}{d x} (sin^{2} (x))

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

= \frac{1}{sin ^{2} ( x )} sin (2 x)

簡素化

\frac{1}{sin ^{2} ( x )} sin (2 x) : 2 cot (x)

= 2 cot (x)

グラフ

人気の例

勾配 (-9,-6),(5,-1)

s l o p e (- 9, - 6), (5, - 1)

積分記号 cos(x)

in t e g r a l cos (x)

cartesian (4,(2pi)/3)

c a r t es ian (4, \frac{2 π}{3})

線 (-2,-4),(3,6)

l in e (- 2, - 4), (3, 6)

cartesian (2,0)

c a r t es ian (2, 0)