Solving Second Derivative of sin (2x)^1/2

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SUMMARY

The discussion focuses on finding the second derivative of the function f(x) = (sin(2x))^(1/2). Participants emphasize the importance of applying the chain rule for differentiation. The initial approach suggests breaking down the function into simpler components, specifically using g(w) = w^(1/2) as a reference for understanding derivatives. Additionally, a resource from Physics Forums is recommended for further clarification on the topic.

PREREQUISITES
  • Understanding of the chain rule in calculus
  • Familiarity with basic differentiation techniques
  • Knowledge of trigonometric functions and their derivatives
  • Ability to work with composite functions
NEXT STEPS
  • Study the application of the chain rule in calculus
  • Practice finding derivatives of composite functions
  • Explore the differentiation of trigonometric functions
  • Review examples of second derivatives in calculus
USEFUL FOR

Students studying calculus, particularly those focusing on differentiation techniques, and anyone seeking to understand the application of the chain rule in complex functions.

athamz
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Second Derivative

Homework Statement



f(x) = sin (2x)^1/2 find the f"(x).


Homework Equations





The Attempt at a Solution



I don't know homework to do it...
 
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How about the chain rule?
 


Why not start by showing us what you do know?

At least pretend we have,
g(w) = w^(1/2).
How would you find the derivative?
The second derivative?

How have you been taught the chain rule? Can you show us a simpler example you've worked?

Also, read
https://www.physicsforums.com/showthread.php?t=414380
particularly the 2nd and 4th paragraphs underneath Homework Help.
 
Last edited:

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