What is the derivative of e^{mx} ?

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

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

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

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

e^{m x} m

Solution steps

\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

= e^{m x} m

d er i v a t i v e 7 + 2 x + x^{3} (5 x^{2} + 1)^{5}

x \to 0 lim (\frac{1}{3 x sin ( x )})

\frac{d}{d x} (ln (\frac{3 x ^{4} + 2}{4 x}))

d er i v a t i v e 6^{4 - x^{2}}

\frac{d}{d x} (\frac{2 - 3 x - x ^{2}}{x ^{2} - 4})

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