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人気のある微分積分 >

derivative of e^{x^5}+log_{2}(pi)

解

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

解

5 e^{x^{5}} x^{4}

解答ステップ

\frac{d}{d x} (e^{x^{5}} + lo g_{2} (π))

和/差の法則を適用:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (e^{x^{5}}) + \frac{d}{d x} (lo g_{2} (π))

\frac{d}{d x} (e^{x^{5}}) = e^{x^{5}} \cdot 5 x^{4}

\frac{d}{d x} (lo g_{2} (π)) = 0

= e^{x^{5}} \cdot 5 x^{4} + 0

簡素化

= 5 e^{x^{5}} x^{4}

グラフ

人気の例

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\int \frac{cos ( u )}{u} d u

(\partial)/(\partial x)(xe^{sqrt(19xy)})

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limit as x approaches c of x^2+x+1

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y^{''}+y^'+(pi^2+1/4)y=0

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