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Popular >

taylor 1-x^3

Solution

taylor

1 - x^{3}

Solution

1 - x^{3}

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 1 + \frac{0}{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 - x^{3}

Popular Examples

area 6x^2,x^2+5 area

6 x^{2}, x^{2} + 5

integral of-1/u

\int - \frac{1}{u} d u

integral of ((x+4)(x-7))/(x^2)

\int \frac{( x + 4 ) ( x - 7 )}{x ^{2}} d x

(\partial)/(\partial x)(sqrt((x+5)/(y+4)))

\frac{\partial}{\partial x} (\frac{x + 5}{y + 4})

integral of 1/(9x^2+1)

\int \frac{1}{9 x ^{2} + 1} d x

Frequently Asked Questions (FAQ)

What is taylor 1-x^3 ?
The answer to taylor 1-x^3 is 1-x^3