derivative of x^2-sqrt(x)+5

解答

\frac{d}{d x} (x^{2} - x + 5)

2 x - \frac{1}{2 x}

求解步骤

\frac{d}{d x} (x^{2} - x + 5)

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (x) + \frac{d}{d x} (5)

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

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

\frac{d}{d x} (5) = 0

= 2 x - \frac{1}{2 x} + 0

化简

= 2 x - \frac{1}{2 x}

\int_{1}^{4} \frac{1}{x ^{2}} d x

d er i v a t i v e \frac{1}{( 1 + x ^{2} )}

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

\frac{d}{d t} (e^{- i t})

x \to 6 lim (c x^{2} + 9 x)