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

The derivative of-e^{4x} is -e^{4x}*4

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

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

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

- e^{4 x} \cdot 4

Solution steps

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

Take the constant out:

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

= - \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

= - e^{4 x} \cdot 4

(y^{2} + 1) d x = (1 + x y) d y

sin (x) \cdot tan (x)

\int - 8 e^{- 8 x} d x

\int \frac{1}{( 9 + x ^{2} ) ^{2}} d x

y (1 + x^{2}) y^{^{'}} - x (5 + y^{2}) = 0

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