1 / 5

Applications of differentiation

Applications of differentiation. Differentiation 3.6. D raw a diagram if possible E xpress the problem as an equation L ink the two variables in the expression with an equation. There is usually something else in the question linking the two variables

wren
Download Presentation

Applications of differentiation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Applications of differentiation Differentiation 3.6

  2. Draw a diagram if possible Express the problem as an equation Link the two variables in the expression with an equation. There is usually something else in the question linking the two variables Substitute for one variable in the expression using this link (above) Differentiate Equate to zero so that you can find the turning points. f’(x) = 0 and solve for x Back substitute into the original equation to find the maximum or minimum point. Test your answer by re-reading the question. It could be the problem wants both variables or the maximum value

  3. A farmer wishes to use 300m of electric fence to form a rectangular paddock against an existing wall. What dimensions should he construct the his paddock so as to maximise the area of the paddock?

  4. A rectangular sheet of cardboard is to have four equal square corners removed and the sides turned up to form an open box. If the cardboard measures 18 cm x 10 cm, find the length of the edge of the square to be removed, to maximise the volume of the box.

  5. Questions 346 to 357 Page 151

More Related