Having trouble with differential and linear approximation

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SUMMARY

The discussion centers on calculating the differential and linear approximation for the function f(x) = x^(3/2) at x = 4 with a delta x (dx) of 0.1. The user initially calculated dy as 0.4 but received feedback indicating this result is incorrect. Clarification was sought regarding the function's notation, specifically whether it is interpreted as x√x or (x^3)/2, which is crucial for accurate calculations.

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  • Understanding of differential calculus
  • Familiarity with linear approximation techniques
  • Knowledge of function notation and interpretation
  • Ability to perform basic algebraic manipulations
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  • Review the concept of derivatives and their applications in linear approximation
  • Learn how to calculate differentials for polynomial functions
  • Study the implications of function notation on calculus operations
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Students studying calculus, educators teaching differential calculus, and anyone seeking to improve their understanding of linear approximation methods.

Cleowen
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f(x)=x^3/2 with x=4 and deltax=dx=0.1 calculate deltay and dy

I got 0.4 for dy but its wrong, and i can't find deltay. please help! thxs
 
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Cleowen said:
f(x)=x^3/2 with x=4 and deltax=dx=0.1 calculate deltay and dy

I got 0.4 for dy but its wrong, and i can't find deltay. please help! thxs

Show us your work and we will help you fix your mistake.
 
In your post, do you mean [itex]x\sqrt{x}[/itex] or [itex]\dfrac{x^3}{2}[/itex] by x^3/2?
 

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