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Differentiate f(x) = (x+2)^(2/3) (1-x)^(...

Differentiate `f(x) = (x+2)^(2/3) (1-x)^(1/3)` w.r.t. x

Text Solution

Verified by Experts

The correct Answer is:
` (-x)/((1-x)^(2//3) (x+2)^(1//3))`
Use chain rule and product rule to differentiate. Afuter solving one could obtain
`d/(dx)(f(x)) = x/((1-x)^(2/3) (x+2)^(1/3))`
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