What is taylor 5x^3+2x^2+6x+10 ?

The answer to taylor 5x^3+2x^2+6x+10 is 10+6x+2x^2+5x^3

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taylor 5x^3+2x^2+6x+10

taylor

5 x^{3} + 2 x^{2} + 6 x + 10

10 + 6 x + 2 x^{2} + 5 x^{3}

Solution steps

Apply the Taylor Formula

= 10 + \frac{\frac{d}{d x} ( 5 x ^{3} + 2 x ^{2} + 6 x + 10 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 5 x ^{3} + 2 x ^{2} + 6 x + 10 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 5 x ^{3} + 2 x ^{2} + 6 x + 10 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 10 + \frac{6}{1 !} x + \frac{4}{2 !} x^{2} + \frac{30}{3 !} x^{3} + \frac{0}{4 !} x^{4} + \frac{0}{5 !} x^{5} + \frac{0}{6 !} x^{6} + \frac{0}{7 !} x^{7} + \frac{0}{8 !} x^{8} + \frac{0}{9 !} x^{9} + \frac{0}{10 !} x^{10}

Refine

= 10 + 6 x + 2 x^{2} + 5 x^{3}

\int \frac{1}{( x - 2 ) ( x + 1 )} d x

x \to 1 lim (x + 1)

\int \frac{2}{x ^{2} + 11 x + 18} d x

\int 5 cos (3 x) - 4 sin (5 x) d x

lo g_{5} (x)

What is taylor 5x^3+2x^2+6x+10 ?
The answer to taylor 5x^3+2x^2+6x+10 is 10+6x+2x^2+5x^3