derivative xln(x)-x

解答

导数

x ln (x) - x

ln (x)

求解步骤

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

使用微分加减法定则:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

\frac{d x}{d x} = 1

= ln (x) + 1 - 1

化简

= ln (x)

\int \frac{x + 4}{x ^{2} + 6 x - 16} d x

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

t an g e n t y = cos (x), at x = - \frac{π}{2}

x \to 0 lim (e^{x} - 2 x^{2})

\frac{\partial}{\partial x} (4 x^{2} + 3 y^{2})