derivative of mx^{m-1}

解答

\frac{d}{d x} (m x^{m - 1})

m x^{m - 2} (m - 1)

求解步骤

\frac{d}{d x} (m x^{m - 1})

将常数提出:

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

= m \frac{d}{d x} (x^{m - 1})

使用幂法则:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= m (m - 1) x^{m - 1 - 1}

化简

= m x^{m - 2} (m - 1)

\frac{\partial}{\partial x} (\frac{( x - 3 y )}{x + 3 y})

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

a re a y = x, 0, 1

d er i v a t i v e f (t) = e^{7 t \cdot s i n (2 t)}

x^{2} - 1, - x + 2, x = 0, x = 1