Ex 6.3, 17 - Find points on y = x3 at which slope of tangent - Finding point when tangent is parallel/ perpendicular

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  1. Chapter 6 Class 12 Application of Derivatives
  2. Serial order wise
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Ex 6.3,17 Find the points on the curve = 3 at which the slope of the tangent is equal to the y-coordinate of the point Let the Point be , on the Curve = 3 Where Slope of tangent at , = , i.e. , = Given = 3 Differentiating w.r.t. =3 2 Slope of tangent at , is , =3 2 From (1) , = 3 2 = Also Point , is on the Curve = 3 Point , must Satisfy the Equation of Curve i.e. = 3 Now our equations are 3 2 = (1) & = 3 (2) Putting Value of =3 2 in (3) 3 2 = 3 3 3 2 =0 2 3 =0 Hence the Required Point on the Curve are , & ,

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