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人気のある微分積分 >

derivative of sqrt(4x-x^2)

解

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

解

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

解答ステップ

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

連鎖法則を適用:

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

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

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

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

簡素化

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

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

グラフ

人気の例

sum from n=0 to infinity of (x-4)^n

n = 0 \sum \infty (x - 4)^{n}

derivative of (e^{2x}/(sqrt(x)))

\frac{d}{d x} (\frac{e ^{2 x}}{x})

tangent f(x)=4x+6/x ,(5,21.2)

t an g e n t f (x) = 4 x + \frac{6}{x}, (5, 21.2)

integral of (sin^4(sqrt(x)))/(sqrt(x))

\int \frac{sin ^{4} ( x )}{x} d x

integral of (1-2x)/(e^{2x)}

\int \frac{1 - 2 x}{e ^{2 x}} d x