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Popular Calculus >

taylor X^3-X^2+4X+5

Solution

taylor

X^{3} - X^{2} + 4 X + 5

Solution

5 + 4 X - X^{2} + X^{3}

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 5 + \frac{4}{1 !} X + \frac{- 2}{2 !} X^{2} + \frac{6}{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

= 5 + 4 X - X^{2} + X^{3}

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Frequently Asked Questions (FAQ)

What is taylor X^3-X^2+4X+5 ?
The answer to taylor X^3-X^2+4X+5 is 5+4X-X^2+X^3