What is taylor 4x^4+3x^3+2x^2+x+11 ?

The answer to taylor 4x^4+3x^3+2x^2+x+11 is 11+x+2x^2+3x^3+4x^4

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taylor 4x^4+3x^3+2x^2+x+11

taylor

4 x^{4} + 3 x^{3} + 2 x^{2} + x + 11

11 + x + 2 x^{2} + 3 x^{3} + 4 x^{4}

Solution steps

Apply the Taylor Formula

= 11 + \frac{\frac{d}{d x} ( 4 x ^{4} + 3 x ^{3} + 2 x ^{2} + x + 11 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 4 x ^{4} + 3 x ^{3} + 2 x ^{2} + x + 11 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 4 x ^{4} + 3 x ^{3} + 2 x ^{2} + x + 11 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 11 + \frac{1}{1 !} x + \frac{4}{2 !} x^{2} + \frac{18}{3 !} x^{3} + \frac{96}{4 !} x^{4}

Refine

= 11 + x + 2 x^{2} + 3 x^{3} + 4 x^{4}

\frac{d}{d x} (\frac{- 1}{x})

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

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

\frac{d}{d x} (460 (1 + \frac{x}{x ^{2} + 80}))

\int \frac{5 x - 2}{( x - 2 ) ^{2}} d x

What is taylor 4x^4+3x^3+2x^2+x+11 ?
The answer to taylor 4x^4+3x^3+2x^2+x+11 is 11+x+2x^2+3x^3+4x^4