How Do You Differentiate f(x) = (71+x)/(1-x)?

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SUMMARY

The discussion focuses on differentiating the function f(x) = 7(1+x)/(1-x). A participant initially misrepresented the function, leading to confusion in their differentiation attempt. The correct application of the chain rule is emphasized, and the importance of proper typesetting in mathematical expressions is highlighted. Participants are encouraged to verify their answers using tools like Wolfram Alpha for accuracy.

PREREQUISITES
  • Understanding of calculus, specifically differentiation techniques.
  • Familiarity with the chain rule in calculus.
  • Ability to typeset mathematical expressions correctly.
  • Knowledge of using online tools for verification, such as Wolfram Alpha.
NEXT STEPS
  • Study the application of the chain rule in differentiation.
  • Learn how to properly typeset mathematical functions using parentheses.
  • Explore the features of Wolfram Alpha for checking calculus solutions.
  • Practice differentiating rational functions and their derivatives.
USEFUL FOR

Students learning calculus, mathematics educators, and anyone seeking to improve their differentiation skills and accuracy in mathematical expression representation.

AwesomeSN
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Homework Statement



Differentiate, f(x)=71+x/1-x

Homework Equations


The Attempt at a Solution



Working this out, hoping it's right as I was going along, my final answer is 71+x/1-x * (2ln7)/1-x
 
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Check your denominator...

Looks like you may have had a bit of a problem after you applied the chain rule. A great way to check your answers is to plug them in on www.wolframalpha.com. If you are incorrect, you can always ask us about the accuracy of your steps.
 
AwesomeSN said:

Homework Statement



Differentiate, f(x)=71+x/1-x

Homework Equations





The Attempt at a Solution



Working this out, hoping it's right as I was going along, my final answer is 71+x/1-x * (2ln7)/1-x

Please learn to typeset expressions properly; in particular, USE PARENTHESES. Your function is f(x) = 7(1+x)/(1-x). What you wrote actually means 71 + (x/1) -x = 7.

RGV
 

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