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Popular >

taylor f(x)=x^3+9x-1

Solution

taylor

f (x) = x^{3} + 9 x - 1

Solution

- 1 + 9 x + x^{3}

Solution steps

Apply the Taylor Formula

= - 1 + \frac{\frac{d}{d x} ( x ^{3} + 9 x - 1 ) ( 0 )}{1 !} x + \frac{\frac{d ^{2}}{d x ^{2}} ( x ^{3} + 9 x - 1 ) ( 0 )}{2 !} x^{2} + \frac{\frac{d ^{3}}{d x ^{3}} ( x ^{3} + 9 x - 1 ) ( 0 )}{3 !} x^{3} + \dots

Evaluate Derivatives

= - 1 + \frac{9}{1 !} x + \frac{0}{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

= - 1 + 9 x + x^{3}

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Frequently Asked Questions (FAQ)

What is taylor f(x)=x^3+9x-1 ?
The answer to taylor f(x)=x^3+9x-1 is -1+9x+x^3