[" a) using Roel,thm,fond "],[" points on Cunve "],[qquad y=16-x^(2)" ,"x in[-1,1]],[" where zanget is painalle? "]

Using Rolles theorem,find points on the curve y=16-x^(2),x in[-1,1], where tangent is parallel to x-a xi s

Using Rolle's theorem find the point on the curve y=x^(2)+1,-2lexle2 where the tangent is parallel to x-axis.

Find the point on the curve y^2-x^2 + 2x-1 = 0 where the tangent is parallel to the x-axis.

Find the point on the curve y^2 - x^2 + 2x - 1 =0 where the tangent is parallel to the x - axis.

Find the point(s) on the curve: y = 1/4(x^2) , where the slope of the tangent is 16/3

Using mean value theorem, prove that there is a point on the curve y=2x^(2)-5x+3 between the points A(1,0) and B(2,1) where tangents are parallel to the chord. Also, find that point.

Find the points on the curve (x^2)/(9)+(y^2)/(16)= 1 , at which the tangents are parallel to X-axis,