What is the derivative of e^{mx}m ?

The derivative of e^{mx}m is m^2e^{mx}

What is the first derivative of e^{mx}m ?

The first derivative of e^{mx}m is m^2e^{mx}

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\frac{d}{d x} (e^{m x} m)

m^{2} e^{m x}

Solution steps

\frac{d}{d x} (e^{m x} m)

Take the constant out:

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

= m \frac{d}{d x} (e^{m x})

Apply the chain rule:

e^{m x} \frac{d}{d x} (m x)

= e^{m x} \frac{d}{d x} (m x)

\frac{d}{d x} (m x) = m

= m e^{m x} m

Simplify

m e^{m x} m : m^{2} e^{m x}

= m^{2} e^{m x}

\frac{\partial}{\partial y} (x + y + z)

x \to - 2 lim (x - 2)

x, at x = 4

x \to \infty lim (x^{\frac{5}{x}})

\int_{0}^{π} sin (x) x^{5} d x

What is the derivative of e^{mx}m ?
The derivative of e^{mx}m is m^2e^{mx}
What is the first derivative of e^{mx}m ?
The first derivative of e^{mx}m is m^2e^{mx}