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

The answer to (\partial)/(\partial m)(mx^b) is x^b

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

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

x^{b}

Solution steps

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

Treat

x, b

as constants

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial m} (m) = 1

= x^{b} \cdot 1

Simplify

= x^{b}

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

\frac{\partial}{\partial x} (e^{3 x^{2} y} (1 + x - 2 y))

\frac{d}{d x} (9 - 4 x)

\int π (x + 1)^{2} d x

(x, y) \to (0, 9) lim (x^{3} y)

What is (\partial)/(\partial m)(mx^b) ?
The answer to (\partial)/(\partial m)(mx^b) is x^b