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人気のある微分積分 >

derivative e^{x/5}

解

導関数

e^{\frac{x}{5}}

解

e^{\frac{x}{5}} \frac{1}{5}

解答ステップ

\frac{d}{d x} (e^{\frac{x}{5}})

連鎖法則を適用:

e^{\frac{x}{5}} \frac{d}{d x} (\frac{x}{5})

= e^{\frac{x}{5}} \frac{d}{d x} (\frac{x}{5})

\frac{d}{d x} (\frac{x}{5}) = \frac{1}{5}

= e^{\frac{x}{5}} \frac{1}{5}

グラフ

人気の例

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

d er i v a t i v e (x - 2) (\frac{1}{x + 2}) (x^{3})

derivative y=(x+x^2)^{1/2}

d er i v a t i v e y = (x + x^{2})^{\frac{1}{2}}

derivative log_{10}(sin(x^2))

d er i v a t i v e lo g_{10} (sin (x^{2}))

derivative 5sin(x+1)

d er i v a t i v e 5 sin (x + 1)

derivative l/(800)

d er i v a t i v e \frac{l}{800}