(d^4)/(dx^4)(3ln(x))

解答

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

- \frac{18}{x ^{4}}

求解步骤

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

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

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

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

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

\frac{d}{d x} (- \frac{3}{x ^{2}}) = \frac{6}{x ^{3}}

= \frac{d}{d x} (\frac{6}{x ^{3}})

\frac{d}{d x} (\frac{6}{x ^{3}}) = - \frac{18}{x ^{4}}

= - \frac{18}{x ^{4}}

\frac{\partial}{\partial x} ((x^{2} + y^{2})^{6})

x \to 5 lim (3)

\frac{x d y}{d x} - y = 3 x^{4}

y^{^{''}} - 6 y^{^{'}} + 25 y = e^{t}

\int x^{3} arctan (x) d x