(\partial)/(\partial x)(ln((1-T)wx))

解答

\frac{\partial}{\partial x} (ln ((1 - T) \cdot w \cdot x))

\frac{1}{x}

求解步骤

\frac{\partial}{\partial x} (ln ((1 - T) w x))

将

T, w

视为常数

使用连锁律:

\frac{1}{( 1 - T ) w x} \frac{\partial}{\partial x} ((1 - T) w x)

= \frac{1}{( 1 - T ) w x} \frac{\partial}{\partial x} ((1 - T) w x)

\frac{\partial}{\partial x} ((1 - T) w x) = w (1 - T)

= \frac{1}{( 1 - T ) w x} w (1 - T)

化简

\frac{1}{( 1 - T ) w x} w (1 - T) : \frac{1}{x}

= \frac{1}{x}

\frac{d y}{d x} + 2 y = 4 x

d er i v a t i v e 9 π^{3}

d er i v a t i v e arcsin (2 x)

t an g e n t f (x) = x^{4} - 2 x^{2}, at x = 1

x \to 0 + lim (\frac{1}{x} - cot (x))