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Calculus

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Please help!! I keep solving this problem but I keep getting the wrong answer.
Find the derivative of the function:
f(x)= xsqrt(x-1)/(x+2)

  • Calculus - ,

    f = x√t(x-1)/(x+2)
    f' = [(x√(x-1))'(x+2) - x√(x-1)(1)]/(x+2)^2
    = [{√(x-1) + x/2√(x-1)}(x+2) - x√(x-1)]/(x+2)^2
    = (x^2+6x-4)/(2√(x-1)(x+2)^2)

    wolframalpha . com will show you the steps for almost any derivative you can throw at it.

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