derivative x^3-6x^2-15x+4

解答

导数

x^{3} - 6 x^{2} - 15 x + 4

3 x^{2} - 12 x - 15

求解步骤

\frac{d}{d x} (x^{3} - 6 x^{2} - 15 x + 4)

使用微分加减法定则:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (15 x) + \frac{d}{d x} (4)

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

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (15 x) = 15

\frac{d}{d x} (4) = 0

= 3 x^{2} - 12 x - 15 + 0

化简

= 3 x^{2} - 12 x - 15

x \to 5 lim (x^{- 2})

\frac{y ^{^{'}}}{2} = y

x \to \frac{π}{2} + lim (e^{s e c (x)})

\int 5 θ sec^{2} (θ) d θ

\int \frac{( 25 - x ^{2} ) ^{3}}{x ^{4}} d x