What is the derivative of 9e^{-3x} ?

The derivative of 9e^{-3x} is -27e^{-3x}

What is the first derivative of 9e^{-3x} ?

The first derivative of 9e^{-3x} is -27e^{-3x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

9 e^{- 3 x}

- 27 e^{- 3 x}

Solution steps

\frac{d}{d x} (9 e^{- 3 x})

Take the constant out:

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

= 9 \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

= 9 e^{- 3 x} (- 3)

Simplify

= - 27 e^{- 3 x}

\int x^{2} 4 + x^{3} d x

\frac{d}{d x} (2 x^{2} + 4)

y^{^{'}} + 5 y = 3

\frac{x ^{4}}{4} + \frac{7}{6} x^{3} - x^{2} + 6 x - 8

x \cdot 3^{x^{2} + 1}

What is the derivative of 9e^{-3x} ?
The derivative of 9e^{-3x} is -27e^{-3x}
What is the first derivative of 9e^{-3x} ?
The first derivative of 9e^{-3x} is -27e^{-3x}