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人気のある微分積分 >

derivative of sqrt(9-4x^2)

解

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

解

- \frac{4 x}{9 - 4 x ^{2}}

解答ステップ

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

連鎖法則を適用:

\frac{1}{2 9 - 4 x ^{2}} \frac{d}{d x} (9 - 4 x^{2})

= \frac{1}{2 9 - 4 x ^{2}} \frac{d}{d x} (9 - 4 x^{2})

\frac{d}{d x} (9 - 4 x^{2}) = - 8 x

= \frac{1}{2 9 - 4 x ^{2}} (- 8 x)

簡素化

\frac{1}{2 9 - 4 x ^{2}} (- 8 x) : - \frac{4 x}{9 - 4 x ^{2}}

= - \frac{4 x}{9 - 4 x ^{2}}

グラフ

人気の例

integral of (3x^2-8x+5)/((x+1)^4)

\int \frac{3 x ^{2} - 8 x + 5}{( x + 1 ) ^{4}} d x

(\frac{1}{1 - x})^{^{'}}

laplacetransform e^{2t}sin(j^2t)

l a pl a ce t r an s f or m e^{2 t} sin (j^{2} t)

(\partial)/(\partial x)((9+20x)y^{tan(x)})

\frac{\partial}{\partial x} ((9 + 20 x) y^{t a n (x)})

tangent f(x)=-x^2,(-3,-9)

t an g e n t f (x) = - x^{2}, (- 3, - 9)