What is the derivative of e^{-2}x ?

The derivative of e^{-2}x is 1/(e^2)

What is the first derivative of e^{-2}x ?

The first derivative of e^{-2}x is 1/(e^2)

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derivative of

e^{- 2} x

\frac{1}{e ^{2}}

Decimal

0.13533 \dots

Solution steps

\frac{d}{d x} (e^{- 2} x)

Take the constant out:

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

= e^{- 2} \frac{d x}{d x}

Apply the common derivative:

\frac{d x}{d x} = 1

= e^{- 2} \cdot 1

Simplify

e^{- 2} \cdot 1 : \frac{1}{e ^{2}}

= \frac{1}{e ^{2}}

What is the derivative of e^{-2}x ?
The derivative of e^{-2}x is 1/(e^2)
What is the first derivative of e^{-2}x ?
The first derivative of e^{-2}x is 1/(e^2)