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人気のある微分積分 >

derivative of e^{(6x-7x^2})

解

\frac{d}{d x} (e^{(6 x - 7 x^{2})})

解

e^{6 x - 7 x^{2}} (6 - 14 x)

解答ステップ

\frac{d}{d x} (e^{(6 x - 7 x^{2})})

連鎖法則を適用:

e^{6 x - 7 x^{2}} \frac{d}{d x} (6 x - 7 x^{2})

= e^{6 x - 7 x^{2}} \frac{d}{d x} (6 x - 7 x^{2})

\frac{d}{d x} (6 x - 7 x^{2}) = 6 - 14 x

= e^{6 x - 7 x^{2}} (6 - 14 x)

グラフ

人気の例

integral from-2 to 2 of e^{-x^2}

\int_{- 2}^{2} e^{- x^{2}} d x

tangent y=2x-2x^2

t an g e n t y = 2 x - 2 x^{2}

limit as x approaches 2 of 1/2 x^2-4x

x \to 2 lim (\frac{1}{2} x^{2} - 4 x)

derivative 2e^{2t}

d er i v a t i v e 2 e^{2 t}

面積 x=-2,x=3,y=2x^2+2,y=0

a re a x = - 2, x = 3, y = 2 x^{2} + 2, y = 0