What is the derivative of e^{-0.05x} ?

The derivative of e^{-0.05x} is -0.05e^{-0.05x}

What is the first derivative of e^{-0.05x} ?

The first derivative of e^{-0.05x} is -0.05e^{-0.05x}

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

- 0.05 e^{- 0.05 x}

Solution steps

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

Apply the chain rule:

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

= e^{- 0.05 x} \frac{d}{d x} (- 0.05 x)

\frac{d}{d x} (- 0.05 x) = - 0.05

= e^{- 0.05 x} (- 0.05)

Simplify

= - 0.05 e^{- 0.05 x}

f (x) = \frac{1}{x} + 4, at x = - 4

\frac{d y}{d x} + \frac{- x}{x + 1} = 0

\frac{d y}{d x} = - \frac{x y}{y - 1}

y = x^{2}, y = 8 + x

\int 100 t^{2} + 36 t^{4} d t

What is the derivative of e^{-0.05x} ?
The derivative of e^{-0.05x} is -0.05e^{-0.05x}
What is the first derivative of e^{-0.05x} ?
The first derivative of e^{-0.05x} is -0.05e^{-0.05x}