en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 6/5 e^{-20x}

Solution

\frac{d}{d x} (\frac{6}{5} e^{- 20 x})

Solution

- 24 e^{- 20 x}

Solution steps

\frac{d}{d x} (\frac{6}{5} e^{- 20 x})

Take the constant out:

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

= \frac{6}{5} \frac{d}{d x} (e^{- 20 x})

Apply the chain rule:

e^{- 20 x} \frac{d}{d x} (- 20 x)

= e^{- 20 x} \frac{d}{d x} (- 20 x)

\frac{d}{d x} (- 20 x) = - 20

= \frac{6}{5} e^{- 20 x} (- 20)

Simplify

\frac{6}{5} e^{- 20 x} (- 20) : - 24 e^{- 20 x}

= - 24 e^{- 20 x}

Popular Examples

taylor ln(x/2),x=2 taylor

ln (\frac{x}{2}), x = 2

limit as x approaches-1 of x^5-1

x \to - 1 lim (x^{5} - 1)

derivative of (24x(-x^2+1)/((x^2+1)^4))

\frac{d}{d x} (\frac{24 x ( - x ^{2} + 1 )}{( x ^{2} + 1 ) ^{4}})

y^'=0.1ln((4000)/y)y,y(0)=500

y^{^{'}} = 0.1 ln (\frac{4000}{y}) y, y (0) = 500

derivative of 6pix^2

\frac{d}{d x} (6 π x^{2})

Frequently Asked Questions (FAQ)

What is the derivative of 6/5 e^{-20x} ?
The derivative of 6/5 e^{-20x} is -24e^{-20x}
What is the first derivative of 6/5 e^{-20x} ?
The first derivative of 6/5 e^{-20x} is -24e^{-20x}