derivative of sqrt(ln(8x))

解答

\frac{d}{d x} (ln (8 x))

\frac{1}{2 x ln ( 8 x )}

求解步骤

\frac{d}{d x} (ln (8 x))

使用连锁律:

\frac{1}{2 ln ( 8 x )} \frac{d}{d x} (ln (8 x))

= \frac{1}{2 ln ( 8 x )} \frac{d}{d x} (ln (8 x))

\frac{d}{d x} (ln (8 x)) = \frac{1}{x}

= \frac{1}{2 ln ( 8 x )} \cdot \frac{1}{x}

化简

\frac{1}{2 ln ( 8 x )} \cdot \frac{1}{x} : \frac{1}{2 x ln ( 8 x )}

= \frac{1}{2 x ln ( 8 x )}

2 \cdot x \cdot y \cdot y^{^{'}} = - (x^{2} + y^{2})

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

t an g e n t 9 y^{7} + 4 x^{3} = 8 y + 5 x, (1, 1)

\frac{\partial}{\partial x} (cos^{5} (x^{7} y^{5}))

x y^{^{'}} + (1 - x) y = 0