What is the derivative of-384e^{-4x} ?

The derivative of-384e^{-4x} is 1536e^{-4x}

What is the first derivative of-384e^{-4x} ?

The first derivative of-384e^{-4x} is 1536e^{-4x}

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derivative of

- 384 e^{- 4 x}

1536 e^{- 4 x}

Solution steps

\frac{d}{d x} (- 384 e^{- 4 x})

Take the constant out:

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

= - 384 \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

= - 384 e^{- 4 x} (- 4)

Simplify

= 1536 e^{- 4 x}

\int \frac{3 x ^{2} - 10 x - 8}{x - 3} d x

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

\int 5 tan^{3} (2 x) sec^{5} (2 x) d x

f (g (x))

y = e^{x}, y = e^{3 x}, x = 0, x = ln (3)

What is the derivative of-384e^{-4x} ?
The derivative of-384e^{-4x} is 1536e^{-4x}
What is the first derivative of-384e^{-4x} ?
The first derivative of-384e^{-4x} is 1536e^{-4x}