What is the derivative of 50x^2e^{-x}+8 ?

The derivative of 50x^2e^{-x}+8 is 50(-e^{-x}x^2+2e^{-x}x)

What is the first derivative of 50x^2e^{-x}+8 ?

The first derivative of 50x^2e^{-x}+8 is 50(-e^{-x}x^2+2e^{-x}x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

50 x^{2} e^{- x} + 8

50 (- e^{- x} x^{2} + 2 e^{- x} x)

Solution steps

\frac{d}{d x} (50 x^{2} e^{- x} + 8)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (50 x^{2} e^{- x}) + \frac{d}{d x} (8)

\frac{d}{d x} (50 x^{2} e^{- x}) = 50 (2 e^{- x} x - e^{- x} x^{2})

\frac{d}{d x} (8) = 0

= 50 (2 e^{- x} x - e^{- x} x^{2}) + 0

Simplify

= 50 (- e^{- x} x^{2} + 2 e^{- x} x)

What is the derivative of 50x^2e^{-x}+8 ?
The derivative of 50x^2e^{-x}+8 is 50(-e^{-x}x^2+2e^{-x}x)
What is the first derivative of 50x^2e^{-x}+8 ?
The first derivative of 50x^2e^{-x}+8 is 50(-e^{-x}x^2+2e^{-x}x)