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The tangent for the cubic function y=x^3 -6 x^2 +8x at point A(3,-3) intersects the curve at point B. determine the coordinates?

Science & Mathematics by Anonymous 2018-07-15 20:34:25

Social Science

The tangent for the cubic function y=x^3 -6 x^2 +8x at point A(3,-3) intersects the curve at point B. determine the coordinates?

2 answers

  • Anonymous

    f'(x) = 3x^2-12x+8 f'(3) = -1 y+3 = 3-x y = -x At point B -x = x^3-6x^2+8x 0 = x(x^2-6x+9) x(x-3)^2 = 0 x = 3 or 0 y = 0 B is (0-0) See Graph https://www.desmos.com/calculator/owmvyi...

  • Anonymous

    Rule y = f(x) , A(a,f(a)) Tangent at A is y-f(a)=f'(a)(x-a)

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