What is the derivative of m(m-1x^{m-2}) ?

The derivative of m(m-1x^{m-2}) is mx^{m-3}(m-1)(m-2)

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

The first derivative of m(m-1x^{m-2}) is mx^{m-3}(m-1)(m-2)

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

m x^{m - 3} (m - 1) (m - 2)

Solution steps

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

Take the constant out:

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

= m (m - 1) \frac{d}{d x} (x^{m - 2})

Apply the Power Rule:

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

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

Simplify

= m x^{m - 3} (m - 1) (m - 2)

\frac{d}{d x} (arctan (1))

\int (1 - x^{\frac{3}{2}})^{\frac{5}{3}} \cdot x d x

\frac{d}{d x} (sin ((5 x^{2} + 8)^{8}))

x \to \infty lim (5 x - 1)

2 t^{2} - t

What is the derivative of m(m-1x^{m-2}) ?
The derivative of m(m-1x^{m-2}) is mx^{m-3}(m-1)(m-2)
What is the first derivative of m(m-1x^{m-2}) ?
The first derivative of m(m-1x^{m-2}) is mx^{m-3}(m-1)(m-2)