What is the derivative of y=e^{mx} ?

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

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

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

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derivative of

y = 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

x^{2} - 5 (- 4.11)

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

\frac{d}{d x} (\frac{x + 4}{9 x ^{2} e ^{x}})

\frac{d}{d x} (- \frac{250 x}{( 25 x ^{2} + 1 ) ^{2}})

\frac{d}{d x} ((x - 1) e^{x^{2} - 4})

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