What is the derivative of y=2e^{-5x} ?

The derivative of y=2e^{-5x} is -10e^{-5x}

What is the first derivative of y=2e^{-5x} ?

The first derivative of y=2e^{-5x} is -10e^{-5x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = 2 e^{- 5 x}

- 10 e^{- 5 x}

Solution steps

\frac{d}{d x} (2 e^{- 5 x})

Take the constant out:

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

= 2 \frac{d}{d x} (e^{- 5 x})

Apply the chain rule:

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

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

\frac{d}{d x} (- 5 x) = - 5

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

Simplify

= - 10 e^{- 5 x}

\frac{\partial}{\partial x} (3 x^{3} y)

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

\frac{d}{d x} (e^{x + 1} + 1)

y^{^{'}} = 2 x y^{\frac{3}{4}}

f (x) = 8 x^{4} + 9 x

What is the derivative of y=2e^{-5x} ?
The derivative of y=2e^{-5x} is -10e^{-5x}
What is the first derivative of y=2e^{-5x} ?
The first derivative of y=2e^{-5x} is -10e^{-5x}