Derivative problem order of opeartions

  • Thread starter Thread starter Press90
  • Start date Start date
  • Tags Tags
    Derivative
Click For Summary
SUMMARY

The discussion centers on solving a derivative limit problem involving the expression lim [75 - (10 + 20h + 10h²) + (1 + h) - 66] as h approaches 0. The key steps include simplifying the numerator to -19h - 10h² by correctly applying the order of operations and combining like terms. The confusion arises from understanding how to manipulate the terms within the parentheses and the overall limit process.

PREREQUISITES
  • Understanding of limits in calculus
  • Familiarity with derivatives and their notation
  • Knowledge of polynomial expressions and simplification
  • Basic grasp of the order of operations in algebra
NEXT STEPS
  • Study the concept of limits in calculus, focusing on limit laws
  • Learn about derivatives and their applications in calculus
  • Practice simplifying polynomial expressions and applying the order of operations
  • Explore examples of limit problems involving derivatives
USEFUL FOR

Students studying calculus, particularly those struggling with limits and derivatives, as well as educators looking for examples to clarify these concepts.

Press90
Messages
3
Reaction score
0
Derivative problem "order of opeartions"

Homework Statement



= lim [75-(10+20h+10h"squared") + (1+h)] - (66)
h-0 h

= lim -19h - 10h"squared"
h-0 h

Homework Equations


So sorry, as this is a simple understanding; which i don't have. But how did the author arrive to the second part of the equation? I forget the order of operations.


The Attempt at a Solution


 
Physics news on Phys.org


The numerator is 75-(10+20*h+10*h^2)+(1+h)-66. That's the same as 75-10-20*h-10*h^2+1+h-66. Negate the terms in parentheses if there is minus outside, leave them alone if there is a plus outside. Now just combine constants and equal powers of h. Is that your question?
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
Replies
5
Views
2K
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 10 ·
Replies
10
Views
5K
Replies
12
Views
2K
  • · Replies 5 ·
Replies
5
Views
1K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K