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Lv 4
? asked in Science & MathematicsMathematics · 6 years ago

can anybody help me with this calculus question?

Find the points on the curve

y = 2x3 + 3x2 − 12x + 4

where the tangent line is horizontal.

1 Answer

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  • ?
    Lv 7
    6 years ago

    y = 2x³ + 3x² - 12x + 4

    y' = 6x² + 6x -12 = 0

    x² + x - 2 = 0

    (x-1)(x+2) = 0

    x = 1 or x = -2

    y(1)=2+3-12+4=-3

    y(-2)=-16+12+24+4=24

    (1,-3) or (-2,24)

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