What is the derivative of 1-e^{-5x} ?

The derivative of 1-e^{-5x} is 5e^{-5x}

What is the first derivative of 1-e^{-5x} ?

The first derivative of 1-e^{-5x} is 5e^{-5x}

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\frac{d}{d x} (1 - e^{- 5 x})

5 e^{- 5 x}

Solution steps

\frac{d}{d x} (1 - e^{- 5 x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (1) - \frac{d}{d x} (e^{- 5 x})

\frac{d}{d x} (1) = 0

\frac{d}{d x} (e^{- 5 x}) = - 5 e^{- 5 x}

= 0 - (- 5 e^{- 5 x})

Simplify

= 5 e^{- 5 x}

x \frac{d y}{d x} = y^{2} - 4

x y^{^{'}} + y = 5 x y^{2}, y (1) = 3

\frac{( x - 1 ) ^{3}}{x ^{2}}

\int \frac{4}{4 + e ^{x}} d x

\frac{d}{d t} ((\frac{2 t + 5}{t ^{2} + 1})^{4})

What is the derivative of 1-e^{-5x} ?
The derivative of 1-e^{-5x} is 5e^{-5x}
What is the first derivative of 1-e^{-5x} ?
The first derivative of 1-e^{-5x} is 5e^{-5x}