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人気のある微分積分 >

derivative y= 9/x+2sin(x)

解

導関数

y = \frac{9}{x} + 2 sin (x)

解

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

解答ステップ

\frac{d}{d x} (\frac{9}{x} + 2 sin (x))

和/差の法則を適用:

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

= \frac{d}{d x} (\frac{9}{x}) + \frac{d}{d x} (2 sin (x))

\frac{d}{d x} (\frac{9}{x}) = - \frac{9}{x ^{2}}

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

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

グラフ

人気の例

derivative p(x)=sqrt(x)-\sqrt[4]{x}

d er i v a t i v e p (x) = x - 4 x

limit as x approaches infinity of 5

x \to \infty lim (5)

derivative of (-8/x)

\frac{d}{d x} (\frac{- 8}{x})

(d^2)/(dx^2)(x^2+y^2)

\frac{d ^{2}}{d x ^{2}} (x^{2} + y^{2})

tangent f(x)=xsqrt(x),(1,1)

t an g e n t f (x) = x x, (1, 1)