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人気のある微分積分 >

derivative sqrt(\sqrt{4x+3)}

解

導関数

4 x + 3

解

\frac{1}{( 4 x + 3 ) ^{\frac{3}{4}}}

解答ステップ

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

連鎖法則を適用:

\frac{1}{2 4 x + 3} \frac{d}{d x} (4 x + 3)

= \frac{1}{2 4 x + 3} \frac{d}{d x} (4 x + 3)

\frac{d}{d x} (4 x + 3) = \frac{2}{4 x + 3}

= \frac{1}{2 4 x + 3} \cdot \frac{2}{4 x + 3}

簡素化

\frac{1}{2 4 x + 3} \cdot \frac{2}{4 x + 3} : \frac{1}{( 4 x + 3 ) ^{\frac{3}{4}}}

= \frac{1}{( 4 x + 3 ) ^{\frac{3}{4}}}

グラフ

人気の例

slopeintercept (-4,2),(6,-3)

s l o p e in t erce pt (- 4, 2), (6, - 3)

derivative of 1/(sqrt(1+e^{4x)})

\frac{d}{d x} (\frac{1}{1 + e ^{4 x}})

limit as x approaches 0+of (x+|x|)/x

x \to 0 + lim (\frac{x + ∣ x ∣}{x})

limit as x approaches 4 of x^3+6x^2-5x-1

x \to 4 lim (x^{3} + 6 x^{2} - 5 x - 1)

derivative of (1-3x/(2+x))

\frac{d}{d x} (\frac{1 - 3 x}{2 + x})