Application of Derivatives
Find the slope of the tangent to the curve y=x−2x−1,x=2 at x=10.
A square piece of tin of side 12 cm is to be made into a box without top, by cutting a square from each corner and folding up the flaps to form the box. What should be the side of the square to be cut off so that the volume of the box is the maximum ? Also, find this maximum volume.