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

The derivative of e^{-3}x is 1/(e^3)

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

The first derivative of e^{-3}x is 1/(e^3)

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derivative of

e^{- 3} x

\frac{1}{e ^{3}}

Solution steps

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

Take the constant out:

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

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

Apply the common derivative:

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

= e^{- 3} \cdot 1

Simplify

e^{- 3} \cdot 1 : \frac{1}{e ^{3}}

= \frac{1}{e ^{3}}

\frac{1}{( a ^{2} + x ^{2} )}

\frac{cos ( x )}{2}

\frac{- 2}{x}

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

\frac{tan ( x )}{2}

What is the derivative of e^{-3}x ?
The derivative of e^{-3}x is 1/(e^3)
What is the first derivative of e^{-3}x ?
The first derivative of e^{-3}x is 1/(e^3)