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Popular >

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}

Popular Examples

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(18 y^{2} - x y) d x + x^{2} d y = 0

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f (x) = x^{2} - 1, (- 4, 15)

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ln (x + 5)

derivative of cos((npix/2))

\frac{d}{d x} (cos (\frac{nπ x}{2}))

integral from 0 to 1 of x*2x

\int_{0}^{1} x \cdot 2 x d x

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