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Popular Calculus >

taylor x^3,-2

Solution

taylor

x^{3}, - 2

Solution

- 8 + 12 (x + 2) - 6 (x + 2)^{2} + (x + 2)^{3}

Solution steps

Apply the Taylor Formula

= - 8 + \frac{\frac{d}{d x} ( x ^{3} ) ( - 2 )}{1 !} (x + 2) + \frac{\frac{d ^{2}}{d x ^{2}} ( x ^{3} ) ( - 2 )}{2 !} (x + 2)^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( x ^{3} ) ( - 2 )}{3 !} (x + 2)^{3} + \dots

Evaluate Derivatives

= - 8 + \frac{12}{1 !} (x + 2) + \frac{- 12}{2 !} (x + 2)^{2} + \frac{6}{3 !} (x + 2)^{3} + \frac{0}{4 !} (x + 2)^{4} + \frac{0}{5 !} (x + 2)^{5} + \frac{0}{6 !} (x + 2)^{6} + \frac{0}{7 !} (x + 2)^{7} + \frac{0}{8 !} (x + 2)^{8} + \frac{0}{9 !} (x + 2)^{9} + \frac{0}{10 !} (x + 2)^{10}

Refine

= - 8 + 12 (x + 2) - 6 (x + 2)^{2} + (x + 2)^{3}

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Frequently Asked Questions (FAQ)

What is taylor x^3,-2 ?
The answer to taylor x^3,-2 is -8+12(x+2)-6(x+2)^2+(x+2)^3