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

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

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

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

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

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

Solution steps

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

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)

y = e^{x}, y = e^{- 3 x}, x = ln (6)

\frac{d y}{d t} = t^{2} + 13 t^{2} y

\int (e^{x} + x cos (y)) d y

\int_{3}^{6} \frac{x}{x ^{2} + 4 x + 13} d x

\int \frac{x ^{4}}{x ^{10} - 1} d x

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