Application of Derivatives
The slope of the tangent to the curve (y−x5)2=x(1+x2)2at the point (1,3)is.
Of all the closed cylindrical cans (right circular), of a given volume of 100 cubic centimetres, find the dimensions of the can which has the minimum surface area?
Show that height of the cylinder of greatest volume which can be inscribed in a right circular cone of height h and semi vertical angle is one-third that of the cone and the greatest volume of cylinder is 274πh3tan2α˙
Find the points on the curve y=x3at which the slope of the tangent is equal to the y-coordinate of the point.