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

The derivative of e^{-mx} is -me^{-mx}

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

The first derivative of e^{-mx} is -me^{-mx}

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derivative of

e^{- m x}

- m e^{- m x}

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)

Simplify

= - m e^{- m x}

\frac{d ^{2}}{d x ^{2}} (11 tan (\frac{x}{10}))

f (x) = 4 sin^{2} (0.5 x) + 1

\frac{d}{d x} (10000 (12 + x) e^{- 0.05 x})

x \to 1 lim (\frac{4 x - 1}{x - 1})

\frac{1}{5} (9 x + 8)^{3}

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