What is the derivative of e^{e-3x} ?

The derivative of e^{e-3x} is -3e^{e-3x}

What is the first derivative of e^{e-3x} ?

The first derivative of e^{e-3x} is -3e^{e-3x}

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derivative of

e^{e - 3 x}

- 3 e^{e - 3 x}

Solution steps

\frac{d}{d x} (e^{e - 3 x})

Apply the chain rule:

e^{e - 3 x} \frac{d}{d x} (e - 3 x)

= e^{e - 3 x} \frac{d}{d x} (e - 3 x)

\frac{d}{d x} (e - 3 x) = - 3

= e^{e - 3 x} (- 3)

Simplify

= - 3 e^{e - 3 x}

\int 2 d x

x \to 3 + lim (\frac{- 5}{x - 3})

\frac{d}{d x} (\frac{e ^{x}}{4 - 3 e ^{x}})

\frac{\partial}{\partial x} (x^{2} y + x + 1)

What is the derivative of e^{e-3x} ?
The derivative of e^{e-3x} is -3e^{e-3x}
What is the first derivative of e^{e-3x} ?
The first derivative of e^{e-3x} is -3e^{e-3x}