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人気のある微分積分 >

derivative of 2^x+cos(3x)

解

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

解

2^{x} ln (2) - sin (3 x) \cdot 3

解答ステップ

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

和/差の法則を適用:

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

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

\frac{d}{d x} (2^{x}) = 2^{x} ln (2)

\frac{d}{d x} (cos (3 x)) = - sin (3 x) \cdot 3

= 2^{x} ln (2) - sin (3 x) \cdot 3

グラフ

人気の例

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\int \frac{sin ( 2 x )}{47 + cos ^{2} ( x )} d x

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