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人気のある微分積分 >

(d^2)/(dx^2)((1-5x)/(1+5x))

解

\frac{d ^{2}}{d x ^{2}} (\frac{1 - 5 x}{1 + 5 x})

解

\frac{100}{( 1 + 5 x ) ^{3}}

解答ステップ

\frac{d ^{2}}{d x ^{2}} (\frac{1 - 5 x}{1 + 5 x})

\frac{d}{d x} (\frac{1 - 5 x}{1 + 5 x}) = - \frac{10}{( 1 + 5 x ) ^{2}}

= \frac{d}{d x} (- \frac{10}{( 1 + 5 x ) ^{2}})

\frac{d}{d x} (- \frac{10}{( 1 + 5 x ) ^{2}}) = \frac{100}{( 1 + 5 x ) ^{3}}

= \frac{100}{( 1 + 5 x ) ^{3}}

人気の例

tangent f(x)=2x^2-5x,(-1,7)

t an g e n t f (x) = 2 x^{2} - 5 x, (- 1, 7)

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

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

derivative of a^2+bx+c

\frac{d}{d x} (a^{2} + b x + c)

derivative of (2x+3/(x+4))

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

limit as x approaches 4 of (x-4)/(x-4)

x \to 4 lim (\frac{x - 4}{x - 4})