derivative of ln((ln(x)^2))

解答

\frac{d}{d x} (ln ((ln (x))^{2}))

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

求解步骤

\frac{d}{d x} (ln ((ln (x))^{2}))

使用连锁律:

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

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

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

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

化简

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

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

\int \frac{1 - sin ^{3} ( x )}{sin ^{2} ( x )} d x

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

s l o p e x^{2} + x y + 2 y^{2} = 28, (2, 3)

t^{2} y^{^{''}} + 7 t y^{^{'}} + 10 y = 0

\int tan (4 x) sec^{5} (4 x) d x