(\partial)/(\partial x)(3ln(x))

解答

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

\frac{3}{x}

求解步骤

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

将常数提出:

(a \cdot f)^{'} = a \cdot f^{'}

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

使用常见微分定则:

\frac{\partial}{\partial x} (ln (x)) = \frac{1}{x}

= 3 \cdot \frac{1}{x}

化简

3 \cdot \frac{1}{x} : \frac{3}{x}

= \frac{3}{x}

a re a (x + 6), x, - 2, 3

\int sec^{6} (x) tan (x) d x

d er i v a t i v e y = ln (7 x)

\frac{d}{d x} (e^{x^{3} + 3 x})

x \to 2 lim (\frac{∣ x - 2 ∣}{2})