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人気のある微分積分 >

(\partial)/(\partial x)(ln(sin^2(x)))

解

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

解

2 cot (x)

解答ステップ

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

連鎖法則を適用:

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

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

\frac{\partial}{\partial 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)

人気の例

sum from n=0 to infinity of 2^n*(1/4)^{ln(2^n)}

n = 0 \sum \infty 2^{n} \cdot (\frac{1}{4})^{l n (2^{n})}

(d^2y)/(dx^2)=4e^{-x},y(0)=3,y^'(0)=2

\frac{d ^{2} y}{d x ^{2}} = 4 e^{- x}, y (0) = 3, y^{^{'}} (0) = 2

derivative 1/(2sqrt(r))+1/(3r^{2/3)}

d er i v a t i v e \frac{1}{2 r} + \frac{1}{3 r ^{\frac{2}{3}}}

limit as y approaches infinity of 1/5 (2y^2+3y)x

y \to \infty lim (\frac{1}{5} (2 y^{2} + 3 y) x)

面積 2-x^2,10-6x

a re a 2 - x^{2}, 10 - 6 x