derivative (4/5 x)^4

解答

导数

(\frac{4}{5} x)^{4}

\frac{1024 x ^{3}}{625}

求解步骤

\frac{d}{d x} ((\frac{4}{5} x)^{4})

使用连锁律:

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

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

\frac{d}{d x} (\frac{4}{5} x) = \frac{4}{5}

= 4 (\frac{4}{5} x)^{3} \frac{4}{5}

化简

4 (\frac{4}{5} x)^{3} \frac{4}{5} : \frac{1024 x ^{3}}{625}

= \frac{1024 x ^{3}}{625}

\frac{\partial}{\partial x} (x - w)

x y^{^{'}} + 4 y = \frac{2 e ^{- 4 x}}{x ^{3}}

t an g e n t y = - 3 x^{2} + 10 x + 2, at x = 1

\frac{t d u}{d t} = t^{2} + 3 u, t > 0, H (6) = 180

d er i v a t i v e 5 - 2 x^{2}