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人気のある微分積分 >

derivative sin(ln(w))

解

導関数

sin (ln (w))

解

\frac{cos ( ln ( w ) )}{w}

解答ステップ

\frac{d}{d w} (sin (ln (w)))

連鎖法則を適用:

cos (ln (w)) \frac{d}{d w} (ln (w))

= cos (ln (w)) \frac{d}{d w} (ln (w))

\frac{d}{d w} (ln (w)) = \frac{1}{w}

= cos (ln (w)) \frac{1}{w}

簡素化

cos (ln (w)) \frac{1}{w} : \frac{cos ( ln ( w ) )}{w}

= \frac{cos ( ln ( w ) )}{w}

グラフ

人気の例

(4y+2t-5)dt+(6y+4t-1)dy=0

(4 y + 2 t - 5) d t + (6 y + 4 t - 1) d y = 0

sum from n=0 to infinity of e^{-an}

n = 0 \sum \infty e^{- an}

(2dy)/(dx)+6y=3

\frac{2 d y}{d x} + 6 y = 3

limit as x approaches infinity of-12

x \to \infty lim (- 12)

derivative of-(4x-3/((2x^2-3x+1)^2))

\frac{d}{d x} (- \frac{4 x - 3}{( 2 x ^{2} - 3 x + 1 ) ^{2}})