Help with calculus multiple choice?

Would appreciate answer and working out, thank you

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2 Answers

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  • 6 months ago

    Ans. A

    Explanation:

    y=f(x)

    =>

    y'=f '(x)=-1/(2x)

    [the slope of a curve at

    (x,y) is the -ve reciprocal

    of that of its normal at the

    same point].

  • The normal to the curve will be the negative inverse of the tangent to the curve

    (dy/dx) * (2x) = -1

    dy/dx = -1/(2x)

    y = (-1/2) * ln|x| + C

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