What is taylor e^{-4x} ?

The answer to taylor e^{-4x} is 1-4x+8x^2-32/3 x^3+32/3 x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

taylor e^{-4x}

taylor

e^{- 4 x}

1 - 4 x + 8 x^{2} - \frac{32}{3} x^{3} + \frac{32}{3} x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 1 + \frac{\frac{d}{d x} ( e ^{- 4 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{- 4 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{- 4 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{- 4}{1 !} x + \frac{16}{2 !} x^{2} + \frac{- 64}{3 !} x^{3} + \frac{256}{4 !} x^{4} + \dots

Refine

= 1 - 4 x + 8 x^{2} - \frac{32}{3} x^{3} + \frac{32}{3} x^{4} + \dots

What is taylor e^{-4x} ?
The answer to taylor e^{-4x} is 1-4x+8x^2-32/3 x^3+32/3 x^4+\ldots