(\partial)/(\partial b)(mx^b)

解答

\frac{\partial}{\partial b} (m x^{b})

m x^{b} ln (x)

求解步骤

\frac{\partial}{\partial b} (m x^{b})

将

m, x

视为常数

将常数提出:

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

= m \frac{\partial}{\partial b} (x^{b})

使用指数求导法则:

\frac{d}{d x} (a^{x}) = a^{x} ln (a)

= m x^{b} ln (x)

\int 8 y d y

\int 4 sin (4 x) sin (3 x) cos (2 x) d x

\frac{\partial}{\partial x} (e^{- 3 y} cos (3 x))

t \to - \infty lim (e^{t} + 1)

\frac{d}{d x} (0.01 (0.2 x^{2} + 4 x + 64)^{\frac{2}{3}})