derivative of (x+sqrt(x)^2)

解答

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

2 x + 3 x + 1

求解步骤

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

使用连锁律:

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

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

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

= 2 (x + x) (1 + \frac{1}{2 x})

化简

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

= 2 x + 3 x + 1

a re a y = \frac{1}{18 x ^{2}}, y = x, y = \frac{x}{6}

\int \frac{1}{- x ^{2} - a + b} d x

x \to 1 lim (x^{\frac{1}{x ^{2} - 1}})

d er i v a t i v e \frac{1}{3 s ^{2}} - \frac{5}{2 s}

\frac{d}{d x} (ln (x^{4} 8 - 6 x))