What is taylor (x-5)e^{(x)}+5 ?

The answer to taylor (x-5)e^{(x)}+5 is -4x-3/2 x^2-1/3 x^3-1/24 x^4+1/720 x^6+\ldots

Popular >

taylor (x-5)e^{(x)}+5

taylor

(x - 5) e^{(x)} + 5

- 4 x - \frac{3}{2} x^{2} - \frac{1}{3} x^{3} - \frac{1}{24} x^{4} + \frac{1}{720} x^{6} + \dots

Solution steps

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( ( x - 5 ) e ^{x} + 5 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( ( x - 5 ) e ^{x} + 5 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( ( x - 5 ) e ^{x} + 5 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{- 4}{1 !} x + \frac{- 3}{2 !} x^{2} + \frac{- 2}{3 !} x^{3} + \frac{- 1}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{1}{6 !} x^{6} + \dots

Refine

= - 4 x - \frac{3}{2} x^{2} - \frac{1}{3} x^{3} - \frac{1}{24} x^{4} + \frac{1}{720} x^{6} + \dots

f (x) = 6 - x, at x = - 3

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

x^{2} - 4 x - 6, - x^{2} + 4 x + 4

\frac{d y}{d x} = y^{2} \cdot x^{- 3}

\frac{\partial}{\partial y} (\frac{4}{y ^{2}} + x)

What is taylor (x-5)e^{(x)}+5 ?
The answer to taylor (x-5)e^{(x)}+5 is -4x-3/2 x^2-1/3 x^3-1/24 x^4+1/720 x^6+\ldots