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{( 2 s + 2 )}{s ^{2} + 2 s + 5}

(1 - y sin (x)) d x + cos (x) d y = 0

y = \frac{5}{x}

\int \frac{1}{x ^{2} - x + 1} d x

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)