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Popular >

taylor (1-x)^2

Solution

taylor

(1 - x)^{2}

Solution

1 - 2 x + x^{2}

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

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

Popular Examples

derivative of x^4(2x-5^6)

\frac{d}{d x} (x^{4} (2 x - 5)^{6})

f(x)=(4x^2-1)/(x^3)

f (x) = \frac{4 x ^{2} - 1}{x ^{3}}

area x=sqrt(1/(12y)),y=x,x=16y area

x = \frac{1}{12 y}, y = x, x = 16 y

(\partial)/(\partial x)(-(x/y))

\frac{\partial}{\partial x} (- (\frac{x}{y}))

derivative of x/(4-sqrt(16-x^2))

\frac{d}{d x} (\frac{x}{4 - 16 - x ^{2}})

Frequently Asked Questions (FAQ)

What is taylor (1-x)^2 ?
The answer to taylor (1-x)^2 is 1-2x+x^2