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人気のある微分積分 >

derivative of 4x^2cos(x+9x)

解

\frac{d}{d x} (4 x^{2} cos (x) + 9 x)

解

4 (2 x cos (x) - x^{2} sin (x)) + 9

解答ステップ

\frac{d}{d x} (4 x^{2} cos (x) + 9 x)

和/差の法則を適用:

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

= \frac{d}{d x} (4 x^{2} cos (x)) + \frac{d}{d x} (9 x)

\frac{d}{d x} (4 x^{2} cos (x)) = 4 (2 x cos (x) - x^{2} sin (x))

\frac{d}{d x} (9 x) = 9

= 4 (2 x cos (x) - x^{2} sin (x)) + 9

グラフ

人気の例

integral from 0 to 1 of 8te^{5t^2}

\int_{0}^{1} 8 t e^{5 t^{2}} d t

integral of (x^3)/(\sqrt[3]{3-2x^2)}

\int \frac{x ^{3}}{3 3 - 2 x ^{2}} d x

limit as x approaches-2 of (3x-9)/(x+1)

x \to - 2 lim (\frac{3 x - 9}{x + 1})

sum from n=2 to infinity of 1/((-5)^n)

n = 2 \sum \infty \frac{1}{( - 5 ) ^{n}}

limit as n approaches+0-of 5+4/n

n \to + 0 - lim (5 + \frac{4}{n})