R\" be a differential function. Let Df(x) be the derivative of f at xe R\". Which of the following is/are correct? A (a) Df(0)u) = O for all u in R (b) Df(x)u) = 0 for"> r\" be a differential function. let df(x) be the derivative of f at">
Sonali posted an Question
May 11, 2020 • 17:42 pm 30 points
  • CSIR NET
  • Mathematical Sciences

18. letf:r" > r" be a differential function. let df(x) be the derivative of f at xe r". which of the following is/are correct? a (a) df(0)u) = o for all u in r

18. Letf:R" > R" be a differential function. Let Df(x) be the derivative of f at xe R". Which of the following is/are correct? A (a) Df(0)u) = O for all u in R (b) Df(x)u) = 0 for all u in Rm and some xe R" only if f is a Constant (c) Df(x)(u) = Ofor allu e R and all x e R" only if fis a constant (d) If f is not a constant function, then DfX) is a one-to-one the unit discl 2 <1} function for some xE R"

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    Eduncle best-answer

    Dear Sonali,

    Greetings!!

    Please refer the image for solution.

    Thank You for asking your query

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