derivative e^{x^2}+5x^2

解答

导数

e^{x^{2}} + 5 x^{2}

e^{x^{2}} \cdot 2 x + 10 x

求解步骤

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

使用微分加减法定则:

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

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

\frac{d}{d x} (e^{x^{2}}) = e^{x^{2}} \cdot 2 x

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

= e^{x^{2}} \cdot 2 x + 10 x

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