derivative f(8)=2(x-5)

解答

导数

f (8) = 2 (x - 5)

2

求解步骤

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

将常数提出:

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

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

使用微分加减法定则:

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

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

\frac{d x}{d x} = 1

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

= 2 (1 - 0)

化简

= 2

h \to c lim (h^{3} + 4 h^{2} - 3)

\frac{d}{d x} (\frac{x ^{3}}{3} + 3 x^{2} - 7 x)

t a y l or 5 x^{3} + 2 x^{2} + 6 x + 10

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

x \to 1 lim (x + 1)