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Find f'(x) and f''(x) if F(x)=sqrt(2-x)?

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  • Find f'(x) and f''(x) if F(x)=sqrt(2-x)?


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Answer #1 | 08/02 2014 03:15
step by step solution: http://symbolab.com/solver/higher-order-derivative-calculator/%5Cfrac%7Bd%5E%7B2%7D%7D%7Bdx%5E%7B2%7D%7D(sqrt(2-x)) hope this helps
Answer #2 | 08/02 2014 00:40
f(x) = (2-x)^(1/2) f'(x) = (1/2)(2-x)^(-1/2) = ½/√(2-x) f''(x) = (-1/2)(1/2)(2-x)^(-3/2) = -¼/√(2-x)³
Answer #3 | 08/02 2014 00:04
f(x) = (2-x)^1/2 f '(x) = (1/2).(2-x)^(-1/2).(-1) = -(1/2).(2-x)^(-1/2) f "(x) = -(1/2)(-1/2)(2-x)^(-3/2).(-1) = -(1/4)(2-x)^(-3/2)

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