derivative-2x^4+5x^2-3

解答

导数

- 2 x^{4} + 5 x^{2} - 3

- 8 x^{3} + 10 x

求解步骤

\frac{d}{d x} (- 2 x^{4} + 5 x^{2} - 3)

使用微分加减法定则:

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

= - \frac{d}{d x} (2 x^{4}) + \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (3)

\frac{d}{d x} (2 x^{4}) = 8 x^{3}

\frac{d}{d x} (5 x^{2}) = 10 x

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

= - 8 x^{3} + 10 x - 0

化简

= - 8 x^{3} + 10 x

d er i v a t i v e f (x) = e^{4 t s i n (2 t)}

y^{^{'}} = e^{(t + y)}, y (0) = 0

x^{2} (\frac{d y}{d x}) + 4 x y - y^{3} = 0

x \to 2 lim ((3 x - 1)^{x^{2} - 3 x + 4})

\frac{\partial}{\partial y} (ln (\frac{x}{y}))