What is the derivative of mx^{m-1} ?

The derivative of mx^{m-1} is mx^{m-2}(m-1)

What is the first derivative of mx^{m-1} ?

The first derivative of mx^{m-1} is mx^{m-2}(m-1)

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

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

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule:

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

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

Simplify

= 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

What is the derivative of mx^{m-1} ?
The derivative of mx^{m-1} is mx^{m-2}(m-1)
What is the first derivative of mx^{m-1} ?
The first derivative of mx^{m-1} is mx^{m-2}(m-1)