What is taylor 5x^2+3x^4 ?

The answer to taylor 5x^2+3x^4 is 5x^2+3x^4

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taylor 5x^2+3x^4

taylor

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

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

Solution steps

Apply the Taylor Formula

= 0 + \frac{\frac{d}{d x} ( 5 x ^{2} + 3 x ^{4} ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( 5 x ^{2} + 3 x ^{4} ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( 5 x ^{2} + 3 x ^{4} ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= 0 + \frac{0}{1 !} x + \frac{10}{2 !} x^{2} + \frac{0}{3 !} x^{3} + \frac{72}{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

= 5 x^{2} + 3 x^{4}

\frac{( 2 )}{( s - 1 ) ^{2}}

2 cos (5 t)

(s + 2)^{2}

y = 5 + 5 x^{2} - 2 x^{3}

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