Calculus Need of Urgent Assistance

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Let
f(x) = x3 − 7x2.
Find the point(s) on the graph of f where the tangent line is horizontal.

(x, y) =

I already got the smaller value, but I'm not getting the larger value right

  • Calculus Need of Urgent Assistance -

    I think you meant to type
    f(x) = x^3 - 7x^2

    f '(x) = 3x^2 - 14x
    = 0 when the tangent is horizontal

    x(3x-14) = 0
    x = 0 or x = 14/3

    if x=0, f(0) = 0
    if x=14/3 , f(13/4) = ... (you do the arithmetic)

    Notice there will be two points.
    You said "I already got the smaller value....."
    I sense that you are quite confused here.
    There is no case of larger or smaller value here, it is a case of either x or y (which is f(x) )

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