derivative of sqrt(x^2-8)

解答

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

\frac{x}{x ^{2} - 8}

求解步骤

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

使用连锁律:

\frac{1}{2 x ^{2} - 8} \frac{d}{d x} (x^{2} - 8)

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

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

= \frac{1}{2 x ^{2} - 8} \cdot 2 x

化简

\frac{1}{2 x ^{2} - 8} \cdot 2 x : \frac{x}{x ^{2} - 8}

= \frac{x}{x ^{2} - 8}

s l o p e (0, 2), (2, - 3)

l a pl a ce t r an s f or m δ (x)

t a y l or x^{2} e^{x - 1} 1

l a pl a ce t r an s f or m e^{- 2 t}

\frac{d}{d x} (x^{4} - 4 x^{3} + 6)