8.6.1 Function of Function Rule
Chapter 2: Chapter 8 · MATHEMATICS-VOLUME 2 · EN medium
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Let F be a function of two variables x y . Sometimes these variables may be functions of a single variable having same domain. In this case, the function F ultimately depends only on one variable. So we should be able to treat this F as a function of single variable and study about dF dt . In fact, this is not a coincidence, it can be proved that Theorem . Suppose that W x y ( , ) is a function of two variables x y having partial derivatives ∂
📖 Class 12 Mathematics English Volume 2 2025 Edition www.tntextbooks.in · Page 86
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Let F be a function of two variables x y . Sometimes these variables may be functions of a single variable having same domain. In this case, the function F ultimately depends only on one variable. So we should be able to treat this F as a function of single variable and study about dF dt .
In fact, this is not a coincidence, it can be proved that Theorem . Suppose that W x y ( , ) is a function of two variables x y having partial derivatives ∂
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