√(4x^4-32x^3+128x^2-240x+245) - Wolfram|Alpha

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Input

sqrt(4 x^4 - 32 x^3 + 128 x^2 - 240 x + 245)

Plot

Plot

Alternate form

sqrt(4 x (x ((x - 8) x + 32) - 60) + 245)

Series expansion at x=0

7 sqrt(5) - (24 sqrt(5) x)/7 + (1696 x^2)/(343 sqrt(5)) + (2288 x^3)/(16807 sqrt(5)) + (12842 x^4)/(4117715 sqrt(5)) + O(x^5)
(Taylor series)

Big‐O notation »

Derivative

d/dx(sqrt(4 x^4 - 32 x^3 + 128 x^2 - 240 x + 245)) = (8 (x^3 - 6 x^2 + 16 x - 15))/sqrt(4 x^4 - 32 x^3 + 128 x^2 - 240 x + 245)

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