derivative ln(2^x)

解答

导数

ln (2^{x})

ln (2)

十进制

0.69314 \dots

求解步骤

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

化简

ln (2^{x}) : ln (2) x

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

将常数提出:

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

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

使用常见微分定则:

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

= ln (2) \cdot 1

化简

= ln (2)

\int \frac{t ^{2}}{1 + t ^{2}} d t

\int 8 x^{3} + \frac{1}{x} d x

\frac{\partial}{\partial y} (e^{7 x e^{y}})

d er i v a t i v e f (x) = 6 x^{3} cot (x)

t an g e n t f (x) = x^{3} 5 - x^{2}, at x = 2