How to Simplify the Derivative of s=(t2)(1/7)

  • Thread starter Thread starter Jim4592
  • Start date Start date
  • Tags Tags
    Derivative
Click For Summary

Homework Help Overview

The discussion revolves around finding the derivative ds/dt for the expression s=(t^2)(1/7), which involves the application of differentiation rules and simplification of expressions.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the use of the chain rule and the importance of simplifying the expression before differentiation. There are attempts to clarify the simplification process and the resulting derivative.

Discussion Status

Some participants have provided guidance on simplifying the expression prior to differentiation, which appears to have helped one participant reach a clearer understanding. However, there remains confusion regarding the discrepancy between their results and the answer key.

Contextual Notes

Participants are grappling with the simplification of the expression and the application of exponent properties, as well as the implications of using different differentiation methods.

Jim4592
Messages
49
Reaction score
0

Homework Statement


Find ds/dt for s=(t2)(1/7)


Homework Equations


I attempted to find the answer by using the chain rule...


The Attempt at a Solution


ds/dt = (1/7)*(t2)-(6/7)*(2t)
ds/dt = (2/7)*t*(t2)-(6/7)

I believe that would be the answer but the problem is that the answer key in the book tells me that ds/dt = (2/7)t-(5/7)

I don't understand what they did to cancel out the t2 ang get the power to be -5/7
 
Physics news on Phys.org
Simplify 's' first before you take the derivative. Remember the properties of exponents.
 
thanks i got it now that i said s=t(2/7)
 
Jim4592 said:

Homework Statement


Find ds/dt for s=(t2)(1/7)


Homework Equations


I attempted to find the answer by using the chain rule...


The Attempt at a Solution


ds/dt = (1/7)*(t2)-(6/7)*(2t)
ds/dt = (2/7)*t*(t2)-(6/7)
Your answer is correct, but it's not as simplified as it can be. Also, using the chain rule led to a lot of unnecessary work that could have been avoided by simplifying the expression first.

(2/7)*t*(t2)-(6/7)
=(2/7) *t* t-12/7
=(2/7) *t7/7* t-12/7
= (2/7) * t-5/7

Jim4592 said:
I believe that would be the answer but the problem is that the answer key in the book tells me that ds/dt = (2/7)t-(5/7)

I don't understand what they did to cancel out the t2 ang get the power to be -5/7
 

Similar threads

Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
6
Views
3K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K