{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Lesson 13 The Differentials

# Lesson 13 The Differentials - Applications of the...

This preview shows pages 1–5. Sign up to view the full content.

Applications of the Derivatives and the Differentials

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
1. The Differentials is applied in solving problems involving approximation. 2. The different applications of the Derivatives are in : a. Writing equation of the tangent and normal line to a curve at a specified point. b. Sketching graphs of functions/relations. c. Solving optimization problems ( Applied Max/Min Problems) d. Solving related rates/ time rates problems.
Application of the DIFFERENTIALS

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
The derivative of a function can often be used to approximate certain function values with a surprising degree of accuracy. To do this, the concept of the differential of the independent variable and the dependent variable must be introduced. ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 x f x x f x x ' f ly equivalent or x x f x x f x f' is That . x f x, through line secant the of slope the as same the ely approximat is tangent the of slope the then , 0 x very small is x If . x f x, point some at curve the to line tangent the of slope the represents ich wh x x f x x f lim x f' is
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern