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MHT CET2008MathematicsApplication of Derivatives

The abscissae of the points, where the tangent to curve y=x³-3 x²-9 x+5 is parallel to x -axis, are

Options

  1. Ax=0 and 0
  2. Bx=1 and -1
  3. Cx=1 and -3
  4. Dx=-1 and 3

Correct answer

D. x=-1 and 3

Step-by-step solution

Given, y=x³-3 x²-9 x+5 d y d x =3 x²-6 x-9 We know that, this equation gives the slope of the tangent to the curve. The tangent is parallel to x -axis, d y d x =0 3 x²-6 x-9=0 x=-1,3

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