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elements of calculus

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write the equation of the line tangent to the curve y= 3x^3- 2x at the point where x=2

  • elements of calculus -

    y'= 9x^2-2 which is the slope,
    y'=34 at x=2

    y= mx+b
    y=34x+b

    now at x=2, y= 3*8-4=22
    22=34*2+b solve for b, and you have the equation of the tangent.

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