What is the derivative of 6e^{-3x} ?

The derivative of 6e^{-3x} is -18e^{-3x}

What is the first derivative of 6e^{-3x} ?

The first derivative of 6e^{-3x} is -18e^{-3x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

6 e^{- 3 x}

- 18 e^{- 3 x}

Solution steps

\frac{d}{d x} (6 e^{- 3 x})

Take the constant out:

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

= 6 \frac{d}{d x} (e^{- 3 x})

Apply the chain rule:

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

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

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

= 6 e^{- 3 x} (- 3)

Simplify

= - 18 e^{- 3 x}

\int_{- \infty}^{0} \frac{1}{4 - 6 x} d x

d er i v a t i v e e^{c s c (x)}

\int \frac{1}{t ^{\frac{1}{2}}} d t

a re a 3 x + y^{2} = 13, x = 4 y

y^{3} d x + 2 (x^{3} - x y^{2}) d y = 0

What is the derivative of 6e^{-3x} ?
The derivative of 6e^{-3x} is -18e^{-3x}
What is the first derivative of 6e^{-3x} ?
The first derivative of 6e^{-3x} is -18e^{-3x}