What is the derivative of 5e^{-4x} ?

The derivative of 5e^{-4x} is -20e^{-4x}

What is the first derivative of 5e^{-4x} ?

The first derivative of 5e^{-4x} is -20e^{-4x}

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\frac{d}{d x} (5 e^{- 4 x})

- 20 e^{- 4 x}

Solution steps

\frac{d}{d x} (5 e^{- 4 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (e^{- 4 x})

Apply the chain rule:

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

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

\frac{d}{d x} (- 4 x) = - 4

= 5 e^{- 4 x} (- 4)

Simplify

= - 20 e^{- 4 x}

f^{^{'}} (x) = x^{(2)} - 4

\frac{\partial}{\partial x} (x^{2} + 5)

\frac{5 x}{e ^{x}}

x^{2} y^{^{''}} - 4 x y^{^{'}} = x^{5}

What is the derivative of 5e^{-4x} ?
The derivative of 5e^{-4x} is -20e^{-4x}
What is the first derivative of 5e^{-4x} ?
The first derivative of 5e^{-4x} is -20e^{-4x}