What is taylor e^{8x} ?

The answer to taylor e^{8x} is 1+8x+32x^2+256/3 x^3+512/3 x^4+\ldots

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

taylor e^{8x}

taylor

e^{8 x}

1 + 8 x + 32 x^{2} + \frac{256}{3} x^{3} + \frac{512}{3} x^{4} + \dots

Solution steps

Apply the Taylor Formula

= 1 + \frac{\frac{d}{d x} ( e ^{8 x} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( e ^{8 x} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( e ^{8 x} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 1 + \frac{8}{1 !} x + \frac{64}{2 !} x^{2} + \frac{512}{3 !} x^{3} + \frac{4096}{4 !} x^{4} + \dots

Refine

= 1 + 8 x + 32 x^{2} + \frac{256}{3} x^{3} + \frac{512}{3} x^{4} + \dots

\int x^{2} 81 - x^{2} d x

f (x) = x 9 - x

\int (3 x^{3} + 2 3 x^{2}) d x

\frac{1}{( s ^{2} + 1 ) ( s ^{3} + 1 )}

\frac{\partial}{\partial z} (\frac{( x + y )}{z})

What is taylor e^{8x} ?
The answer to taylor e^{8x} is 1+8x+32x^2+256/3 x^3+512/3 x^4+\ldots