The basic way to find turning points (maximums and minimums) of any function is the first derivative test. You to take the derivative of the function and set it equal to zero (##f'(x) = 0##) or find where it does not exist. Those values are called critical numbers and are the only places the function can change direction.
Once you have your critical values you check to see how the derivative changes sign at those points. To do this you put in an x-value on both sides of your critical point into the derivative. (For example if your critical point is x = 2 then see what the sign is of ##f'(1)## and of ##f'(3)##) If the derivative changes from Positive (increasing) to Negative (decreasing) then you have a maximum. If the derivative changes from Negative to Positive you have a minimum and if it has the same sign on both sides the graph does not change direction there.
You can find a good video about this at Khan Academy:Testing Critical Points for local extrema
Our website has a team of professional writers who can help you write any of your homework. They will write your papers from scratch. We also have a team of editors just to make sure all papers are of HIGH QUALITY & PLAGIARISM FREE. To make an Order you only need to click Ask A Question and we will direct you to our Order Page at WriteDemy. Then fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Fill in all the assignment paper details that are required in the order form with the standard information being the page count, deadline, academic level and type of paper. It is advisable to have this information at hand so that you can quickly fill in the necessary information needed in the form for the essay writer to be immediately assigned to your writing project. Make payment for the custom essay order to enable us to assign a suitable writer to your order. Payments are made through Paypal on a secured billing page. Finally, sit back and relax.
About Writedemy
We are a professional paper writing website. If you have searched a question and bumped into our website just know you are in the right place to get help in your coursework. We offer HIGH QUALITY & PLAGIARISM FREE Papers.
How It Works
To make an Order you only need to click on “Place Order” and we will direct you to our Order Page. Fill Our Order Form with all your assignment instructions. Select your deadline and pay for your paper. You will get it few hours before your set deadline.
Are there Discounts?
All new clients are eligible for 20% off in their first Order. Our payment method is safe and secure.