Let x and y be two positive numbrrs such that x+2y=50 and (x+1)(y+2) is a maximum
In order to reach our destination, we follow traffic rules and drive carefully. The same thing in getting the derivatives of a function, we follow the derivative rules and solve carefully so we can reach for the final and correct answer.
See the picture for an example.
Dyan is in rush with her school works and needs your help. Can you help her by solving this derivative?
FIND THE DERIVATIVE OF
SOLUTION:
ANSWER:
by: Aira Mitra
Every problem has a solution, math problems are no exception.
Just like this optimization problem, it has a solution to be solved.
Problem:
A rectangular sheet of paper with perimeter 36 cm is to be rolled into a cylinder. What are the dimensions of the sheet that give the greatest volume?
Solution: (see the picture below)
Everything has a solution we just have to work hard to come up with the best and right answers.
A container in the shape of a right circular cylinder with no top has surface area 3
ft.2 What height h and base radius r will maximize the volume of the cylinder ?
Final answer: 
ft.3
A ball is thrown straight up in the air from the ground
level. It’s height of after t seconds is given by S(t)= -16t2 + 50t.
When does the ball reach its maximum height?
By: Arvi Velasquez
An engineer is building a rectangular structure with fixed perimeter of 50ft. What dimensions of the largest structure that can be built? What is the area?
By: Arvi Velasquez
By: Daniel Joshua D. Domanais
