Applications of derivatives (in real life!)
math.berkeley.edu › ~peyam › Math1AFa13Applications of derivatives (in real life!) Peyam Ryan Tabrizian Friday, October 11th, 2013 Chemistry Problem 1 [That should look familiar!] At time t 0, a beaker contains 2 grams of salt dissolved in 5 ounces of water. At time t 0, water is being added at 10 ounces/min and salt is being added at 3 grams/min. How fast is the concentration of salt
CHAPTER 3 APPLICATION OF DIFFERENTIATION
syedpkb.files.wordpress.com › 2013 › 06Calculus (differentiation and integration) was developed to improve this understanding. Differentiation and integration can help us solve many types of real-world problems. We use the derivative to determine the maximum and minimum values of particular functions (e.g. cost, strength, amount of material used in a building, profit, loss, etc.).
15.Applications of Differentiation (A)
irp-cdn.multiscreensite.com › f15f3f52 › filessituations in real life where it is necessary to maximise or minimize functions. Example 5 A farmer wishes to fence off a rectangular sheep pen and uses all of 100 m of fencing. An adjoining hedge is to be used as one side of the pen. Determine the maximum area of the pen. y= 4x3 −3x2 −6x 32 2 2 2 43 6 12 6 6 24 6 yx x x dy xx dx dy x dx
Applications of Differentiation Handout
www.uis.edu › ctl › wp-contentApplications of Differentiation 5 To use the I/D test we have to know where )f ' (x >0 and where )f ' (x < 0. This depends on the signs of the three factors of )f ' (x, namely, 12x, x −2 and x +1. We divide the real line into intervals whose endpoints are the critical numbers -1, 0 and 2. The sign of )f ' (x is represented on the number line.