What is (\partial)/(\partial x)(mx^b) ?

The answer to (\partial)/(\partial x)(mx^b) is mbx^{b-1}

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(\partial)/(\partial x)(mx^b)

\frac{\partial}{\partial x} (m x^{b})

mb x^{b - 1}

Solution steps

\frac{\partial}{\partial x} (m x^{b})

Treat

m, b

as constants

Take the constant out:

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

= m \frac{\partial}{\partial x} (x^{b})

Apply the Power Rule:

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

= mb x^{b - 1}

\int_{0}^{3} x 10 - x^{2} d x

\frac{8 x}{7 - tan ( x )}

x \to \infty lim (\frac{- 1}{2})

f (x) = x + 1 (1 - 5 x^{2})^{8}

\int \frac{1}{49 - x ^{2}} d x

What is (\partial)/(\partial x)(mx^b) ?
The answer to (\partial)/(\partial x)(mx^b) is mbx^{b-1}