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人気のある微分積分 >

derivative of 3sin(x+4cos(x))

解

\frac{d}{d x} (3 sin (x) + 4 cos (x))

解

3 cos (x) - 4 sin (x)

解答ステップ

\frac{d}{d x} (3 sin (x) + 4 cos (x))

和/差の法則を適用:

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

= \frac{d}{d x} (3 sin (x)) + \frac{d}{d x} (4 cos (x))

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

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

= 3 cos (x) - 4 sin (x)

グラフ

人気の例

integral from 1 to 2 of (2x^3-4)

\int_{1}^{2} (2 x^{3} - 4) d x

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d er i v a t i v e f (x) = (1 + 6 x^{2}) (x - x^{2})

sum from n=1 to infinity of (nx^n)/(n+1)

n = 1 \sum \infty \frac{n x ^{n}}{n + 1}

integral from 0 to 2 of (e^x)^2

\int_{0}^{2} (e^{x})^{2} d x

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\int - x^{2} + 2 x d x