What is the derivative of y=(13x^2-26x+26)e^{-8x} ?

The derivative of y=(13x^2-26x+26)e^{-8x} is -104e^{-8x}x^2+234e^{-8x}x-234e^{-8x}

What is the first derivative of y=(13x^2-26x+26)e^{-8x} ?

The first derivative of y=(13x^2-26x+26)e^{-8x} is -104e^{-8x}x^2+234e^{-8x}x-234e^{-8x}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

y = (13 x^{2} - 26 x + 26) e^{- 8 x}

- 104 e^{- 8 x} x^{2} + 234 e^{- 8 x} x - 234 e^{- 8 x}

Solution steps

\frac{d}{d x} ((13 x^{2} - 26 x + 26) e^{- 8 x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = 13 x^{2} - 26 x + 26, g = e^{- 8 x}

= \frac{d}{d x} (13 x^{2} - 26 x + 26) e^{- 8 x} + \frac{d}{d x} (e^{- 8 x}) (13 x^{2} - 26 x + 26)

\frac{d}{d x} (13 x^{2} - 26 x + 26) = 26 x - 26

\frac{d}{d x} (e^{- 8 x}) = - 8 e^{- 8 x}

= (26 x - 26) e^{- 8 x} + (- 8 e^{- 8 x}) (13 x^{2} - 26 x + 26)

Simplify

(26 x - 26) e^{- 8 x} + (- 8 e^{- 8 x}) (13 x^{2} - 26 x + 26) : - 104 e^{- 8 x} x^{2} + 234 e^{- 8 x} x - 234 e^{- 8 x}

= - 104 e^{- 8 x} x^{2} + 234 e^{- 8 x} x - 234 e^{- 8 x}

\int 36 - x^{2} d x

\frac{d}{d x} (\frac{( x + 2 )}{2 - x})

y^{^{''}} + 4 y = 12 sin (2 t)

\int e^{3 x} (3 x + 1) d x

\int_{0}^{t} cos^{2} (wt) d t

What is the derivative of y=(13x^2-26x+26)e^{-8x} ?
The derivative of y=(13x^2-26x+26)e^{-8x} is -104e^{-8x}x^2+234e^{-8x}x-234e^{-8x}
What is the first derivative of y=(13x^2-26x+26)e^{-8x} ?
The first derivative of y=(13x^2-26x+26)e^{-8x} is -104e^{-8x}x^2+234e^{-8x}x-234e^{-8x}