What is the derivative of e^{-5}x ?

The derivative of e^{-5}x is 1/(e^5)

What is the first derivative of e^{-5}x ?

The first derivative of e^{-5}x is 1/(e^5)

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derivative of

e^{- 5} x

\frac{1}{e ^{5}}

Solution steps

\frac{d}{d x} (e^{- 5} x)

Take the constant out:

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

= e^{- 5} \frac{d x}{d x}

Apply the common derivative:

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

= e^{- 5} \cdot 1

Simplify

e^{- 5} \cdot 1 : \frac{1}{e ^{5}}

= \frac{1}{e ^{5}}

f (x) = - 2 x^{2} - 5

cosh^{2} (x)

3 x^{2} + 5 x - 2

lo g_{10} (x^{2} - 1)

(x^{2} + 1)^{4}

What is the derivative of e^{-5}x ?
The derivative of e^{-5}x is 1/(e^5)
What is the first derivative of e^{-5}x ?
The first derivative of e^{-5}x is 1/(e^5)