Application of Derivatives
Using differentials, find the approximate value of (3.968)23
A wire of length 28 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a circle. What should be the length of the two pieces so that the combined area of the square and the circle is minimum?
Find the least value of a such that the function f given by f(x)=x2+ax+1is strictly increasing on (1,2)˙
Manufacturer can sell x items at a price of rupees (5−100x)each. The cost price of x items is Rs (5x+500). Find the number of items he should sell to earn maximum profit