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how to sketch a curve given its 1st and 2nd derivative?

Q: for a certain curve, when x=5, y=3, dy/dx=-4 and d^2y/dx^2=2

.provide a neat sketch of this curve around the point where x=5

how to do?

i know 1st derivative is gradient and 2nd derivative is concavity

3 Answers

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  • Anonymous
    7 years ago

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  • You know it will be sloping down rather steeply, yet be concave up, so if you draw something like what the curve y=x^2 when x=-2 , but on your sketch, put it at (5,3)

  • Juan
    Lv 6
    7 years ago

    use the formula

    y = (x - 6)*(x + 8)

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