derivative (x-3)^2*(1/2)+1

解答

导数

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

x - 3

求解步骤

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

化简

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

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

使用微分加减法定则:

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

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

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

\frac{d}{d x} (1) = 0

= x - 3 + 0

化简

= x - 3

\frac{\partial}{\partial y} (- \frac{y}{x ^{2} + y ^{2}})

x \to 1 lim (lo g_{10} (x))

\int \frac{1}{u u ^{2} - a ^{2}} d u

\int_{8}^{11} \frac{y}{y ^{2} - 4 y - 5} d y

d er i v a t i v e y = 3 x^{2} + e^{2 x} + π^{2}