Bsc CSIT Semester 1 – Mathematics I – Unit 4: Applications of Derivatives (4 Hrs.)

$\quad$ (a) Where the function f(x)=|x| is differentiable? Discuss.

$\quad$ (b) A farmer has 1200 m. of fencing and wants to fence off a rectangular field that

$\quad$ boarders a straight river. He needs to fence along the river. What are the dimensions of the

$\quad$ field that has the largest area?