Derivative of x^2 •root x

Question

Hull

Mathematics

9 May, 22:16

Derivative of x^2 •root x

+2

Answers (2)

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Yareli · Answer 1

Y = x².√x

y = x². (x) ¹/² → y = x²⁺¹/² → y = x⁵/²

Remember that the derivative of y = xⁿ is y' = n. xⁿ⁻¹

y = x⁵/² → y' = (5/2). x⁽⁵/²⁾⁻¹ → y' = (5/2) x³/² or y' = (5/2) √x³ or y' = (5/2) x√x

Georgia Brock · Answer 2

= x^2 * x^1/2

= x^ (5/2)

derivative = (5/2) x ^ (5/2 - 1) = (5/2) x^ (3/2) or (5/2) (sqrt x) ^3