Derivative of 4/sqrtx Using the Limit Process

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SUMMARY

The discussion focuses on finding the derivative of the function 4/sqrt(x) using the limit process. The participant initially struggled with simplification despite knowing the answer through alternative methods. They attempted rationalizing the numerator to facilitate taking the limit but faced challenges in arriving at the correct answer. Ultimately, after a break, they were able to understand the solution clearly.

PREREQUISITES
  • Understanding of calculus concepts, specifically derivatives
  • Familiarity with the limit process in calculus
  • Knowledge of rationalization techniques in algebra
  • Basic proficiency in manipulating square roots in mathematical expressions
NEXT STEPS
  • Study the limit definition of a derivative in depth
  • Practice rationalizing expressions for easier limit calculations
  • Explore different methods for finding derivatives, including the quotient rule
  • Review examples of derivatives involving square root functions
USEFUL FOR

Students learning calculus, particularly those focusing on derivatives and limit processes, as well as educators seeking to clarify these concepts for their students.

Chunkysalsa
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Homework Statement


Find the derivative of 4/sqrtx using the limit process

Homework Equations





The Attempt at a Solution



I know the method and I even know the answer using other (easier) means but I just cannot simplify it. I've tried almost everything i can think of. I feel like this is an easy answer but I'm just not seeing it.

I tried rationalizing the numerator and that helps me with taking the actual limit but I'm having problems simplifying to the correct answer.
 
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Show us what you tried and we'll help you with this problem.
 
Never mind, like I said easy problem just couldn't see it.

Ate lunch and came back to it and it all made sense. Thanks anyway
 

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