derivative of (x^2+3/2)

解答

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

x

求解步骤

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

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (3) = 0

= \frac{1}{2} (2 x + 0)

化简

\frac{1}{2} (2 x + 0) : x

= x

\int x sin (11 - x) d x

d er i v a t i v e f (x) = x^{2} (3 + x)^{- 5}

\frac{d}{d t} (e^{t} (cos (t) - sin (t)))

y^{^{''}} + \frac{1}{4} y = 0, y (π) = 1, y^{^{'}} (π) = - 3

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