derivative f(x)=sqrt(4x-3)

解答

导数

f (x) = 4 x - 3

\frac{2}{4 x - 3}

求解步骤

\frac{d}{d x} (4 x - 3)

使用连锁律:

\frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

= \frac{1}{2 4 x - 3} \frac{d}{d x} (4 x - 3)

\frac{d}{d x} (4 x - 3) = 4

= \frac{1}{2 4 x - 3} \cdot 4

化简

\frac{1}{2 4 x - 3} \cdot 4 : \frac{2}{4 x - 3}

= \frac{2}{4 x - 3}

\int - 2 cos (2 x) d x

x \to \frac{4}{π} lim (cos (x))

\frac{d}{d x} (3 x - \frac{6}{x})

\frac{d}{d x} (\frac{1}{8} x^{8} - x^{4})

d er i v a t i v e ln (x^{2} - 4 x)