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人気のある微分積分 >

derivative of {f}(x{f}(x){f}(x))

解

\frac{d}{d x} (f (x) \cdot f (x) \cdot f (x))

解

3 f (x)^{2} \frac{d}{d x} (f (x))

解答ステップ

\frac{d}{d x} (f (x) f (x) f (x))

簡素化

f (x) f (x) f (x) : f (x)^{3}

= \frac{d}{d x} (f (x)^{3})

連鎖法則を適用:

3 f (x)^{2} \frac{d}{d x} (f (x))

= 3 f (x)^{2} \frac{d}{d x} (f (x))

人気の例

y^'-8/x y=y^3 1/(x^{12)}

y^{^{'}} - \frac{8}{x} y = y^{3} \frac{1}{x ^{12}}

面積 y=x^2,x=y^2

a re a y = x^{2}, x = y^{2}

3xy^'-15y=x^{-1}

3 x y^{^{'}} - 15 y = x^{- 1}

sum from n=9 to infinity of (1/7)^n

n = 9 \sum \infty (\frac{1}{7})^{n}

integral from-infinity to 0 of 0

\int_{- \infty}^{0} 0 d x