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JEE Main2010MathematicsApplication of DerivativesActual

The equation of the tangent to the curve y=x+ 4 x^2 , that is parallel to the x -axis, is

Options

  1. Ay=1
  2. By=2
  3. Cy=3
  4. Dy=0

Correct answer

C. y=3

Step-by-step solution

Parallel to x -axis d y d x =0 1- 8 x^3 =0 x=2 y=3 Equation of tangent is y-3=0(x-2) y-3=0

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