Ncert exemplar problems class 12 maths| Application of derivatives|Chapter 6|Solutions|
Here we are discussing some ncert exemplar problems chapter 6. Questions related to derivatives as a rate measure based on exercise 6.1 of ncert.
Example 11 : Water is dripping out at a steady rate of 1 cu cm/sec through a tiny hole at the vertex of the conical vessel, whose axis is vertical. When the slant height of water in the vessel is 4 cm, find the rate of decrease of slant height, where the vertical angle of the conical vessel is π/6.
Example 2 : Water is dripping out from a conical funnel of semi-vertical angle π/4 at the uniform rate of 2 cm2 /sec in the surface area, through a tiny hole at the vertex of the bottom. When the slant height of cone is 4 cm, find the rate of decrease of the slant height of water.
Example 1 : For the curve y = 5x – 2x3, if x increases at the rate of 2 units/sec, then how fast is the slope of curve changing when x = 3?