Derivative of x^2 •root x

2 answers:

6 0

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

butalik [34]4 years ago

4 0

= 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

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