derivative y=ln(ln(x^3))

解答

导数

y = ln (ln (x^{3}))

\frac{3}{x ln ( x ^{3} )}

求解步骤

\frac{d}{d x} (ln (ln (x^{3})))

使用连锁律:

\frac{1}{ln ( x ^{3} )} \frac{d}{d x} (ln (x^{3}))

= \frac{1}{ln ( x ^{3} )} \frac{d}{d x} (ln (x^{3}))

\frac{d}{d x} (ln (x^{3})) = \frac{3}{x}

= \frac{1}{ln ( x ^{3} )} \cdot \frac{3}{x}

化简

\frac{1}{ln ( x ^{3} )} \cdot \frac{3}{x} : \frac{3}{x ln ( x ^{3} )}

= \frac{3}{x ln ( x ^{3} )}

d er i v a t i v e y = \frac{sin ( x )}{1 + sin ( x )}

\int \frac{x}{x ^{2} + 3} d x

\int \frac{x ^{3}}{x ^{2} - 49} d x

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

x \to 2 lim (x^{4} + 5^{x} - 2)