What is the derivative of $(4-x^(2/3))^(3/2)$ ?

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Answer 1 · 2017-01-05T05:17:32

$dy/dx=3/2(4-x^(2/3))^((1/2))(-2/3x^(-1/3))$

Given -

$y=(4-x^(2/3))^(3/2)$

$dy/dx=3/2(4-x^(2/3))^((3/2)-1)(-2/3x^((2/3)-1))$
$dy/dx=3/2(4-x^(2/3))^((1/2))(-2/3x^(-1/3))$

What is the derivative of (4-x^(2/3))^(3/2)(4-x^(2/3))^(3/2)?