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tsangz
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Homework Statement
Suppose g(x,y)=f(x-y,y-s)
Homework Equations
Nothing else
The Attempt at a Solution
Find dg/dx + dg/dy
Chain Rule Exercise: Find dg/dx + dg/dy
- Thread starter tsangz
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- Chain Chain rule Exercise
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SUMMARY
The discussion centers on the mathematical exercise of finding the partial derivatives dg/dx and dg/dy for the function g(x,y) = f(x-y, y-s). The participants suggest simplifying the problem by introducing new variables, specifically r = x-y and p = y-s, to facilitate the differentiation process. This approach streamlines the calculation of the derivatives, making the exercise more manageable.
PREREQUISITES- Understanding of partial derivatives in multivariable calculus
- Familiarity with the Chain Rule in differentiation
- Knowledge of function notation and variable substitution
- Basic algebraic manipulation skills
- Study the Chain Rule for multivariable functions
- Practice finding partial derivatives using variable substitution
- Explore examples of differentiating composite functions
- Review the implications of variable changes in calculus
Students studying calculus, particularly those focusing on multivariable functions and differentiation techniques.
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