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Popular >

taylor x^2-2x+4,2

Solution

taylor

x^{2} - 2 x + 4, 2

Solution

4 + 2 (x - 2) + (x - 2)^{2}

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 4 + \frac{2}{1 !} (x - 2) + \frac{2}{2 !} (x - 2)^{2} + \frac{0}{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

= 4 + 2 (x - 2) + (x - 2)^{2}

Popular Examples

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\int_{0}^{1} \frac{1}{1 - x} d x

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integral from 0 to 1 of xsqrt(x^2+8)

\int_{0}^{1} x x^{2} + 8 d x

derivative of y=3x+1 derivative of

y = 3 x + 1

derivative of 3sqrt(x)sin(x)derivative of

3 x sin (x)

Frequently Asked Questions (FAQ)

What is taylor x^2-2x+4,2 ?
The answer to taylor x^2-2x+4,2 is 4+2(x-2)+(x-2)^2