No item in cart
Maxima and Minima Calculus I Engineering Mathematics| EC, EE, IN, ME, CE, CS
Maxima and Minima is a very important concept of calculus. We can use this concept in real life scenario whenever we want to make optimal usage of available resources so that profit is maximized.
To understand the concept with clarity it’s important to have basic idea of derivative, Increasing and Decreasing functions.
Derivative in layman terms is nothing but change. In mathematical terms it represents slope of a function at the point of interest. Slope of a function is given by tangent drawn at the point of interest.
An Increasing function is one whose slope is non-negative. If the slope is strictly positive, it is known as monotonously increasing function.
A decreasing function is one whose slope is non-positive. If the slope is strictly negative, it is known as monotonously decreasing function.
In Maxima and Minima, we learn about both Local and Global Maximum and Minimum Points.
For Local Maxima and Minima, the point should satisfy the condition that, the first derivative of function equals to zero. For Maxima, second derivative is less than zero and for Minima, second derivative is greater than zero. If the second derivative is equal to zero, it is known as point of inflection. The points where maxima and minima happen are known as critical or extreme points.
For an nth degree polynomial, number of extrema will not exceed n-1 and zero crossing cannot exceed.
For Global Maxima we should find the maximum value of all extreme points also taking in to consideration the function value at end points. And same goes for Global minima by considering Minimum value points including initial and final points.
E Lectures helped me a lot in making a head start in the right direction. It helped whenever I got stuck in any topic. Mock Tests across 50 centers helped me judge my progress both on individual and comparative basis.
I took up mechanical coaching at THE GATE ACADEMY as there is no separate coaching for Engineering Sciences in India and Mechanical and Engineering sciences have more or less common topics.I feared that cracking GATE would be very difficult because I started my preparations very late but the counsellors and teachers guided me
In one year’s time, I was able to prepare for GATE exam with the help of THE GATE ACADEMY and faculties. GATE Focused study materials and online mock tests helped me know my strengthen & weakness to prepare accordingly. I wish all the best to all GATE aspirants and suggest them to go through GATE coaching in case the basics are not clear.
I am Praveen. I got AIR 1 in Instrumentation stream. I want to dedicate this to my parents and to the Gate Academy faculty. Gate Academy coaching helped me tremendously to update myself continuously.I was very impressed with the way they taught each topic in different sessions with separate material for each session.
THE GATE Academy questions covered a wide variety of topics and were similar to GATE paper standard. The online platform replicated the actual GATE test environment and the detailed and video solutions were sufficient to clear all doubts regarding the question. Thanks to THE GATE Academy team to provide such wonderful tests & platform.
To begin with, it gives me immense pleasure to Thank,Thank the institute THE GATE ACADEMY for all their help and support.Its a place to learn, explore, grow and succeed.Well it helps you brush-up your engineering knowledge and learn new things and clears your concept in such great details
GATE Success Story
- Our students get all India rank 1, 1, 1, 1, 4 and 4
- More than 142 students in top 100.