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Popular >

taylor xcos(pi)x,x=0

Solution

taylor

x cos (π) x, x = 0

Solution

- x^{2}

Solution steps

Apply the Taylor Formula

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

Evaluate Derivatives

= 0 + \frac{0}{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

= - x^{2}

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\int (x^{3} + 2 x)^{5} (6 x^{2} + 4) d x

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\frac{d}{d x} (ln (\frac{x}{2 e}))

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f (x) = x^{2} + 9, (- 2, 13)

Frequently Asked Questions (FAQ)

What is taylor xcos(pi)x,x=0 ?
The answer to taylor xcos(pi)x,x=0 is -x^2