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Function of several variables, total and partial derivatives. We consider an arbitrary function f(x,x), which depends explicitly on a and i but has not explicit time-dependence. However r(t) and i(t) are explicit functions of t. iii) Write down the general form of the total infinitesimal variation df (x,x), in terms of partial derivatives. iv) Write down some mathematical expressions and explain the difference in a few words between af (x, i) Ət df (x,x) dt and We now consider another generic function g(x, y), without any assumption on the real variables x and y. v) Derive an equation which relates difference? dg(x, y) dx to მg(x,ყ) əx How can one interpret the

Function of several variables, total and partial derivatives. We consider an arbitrary function f(x,x), which depends explicitly on a and i but has not explicit time-dependence. However r(t) and i(t) are explicit functions of t. iii) Write down the general form of the total infinitesimal variation df (x,x), in terms of partial derivatives. iv) Write down some mathematical expressions and explain the difference in a few words between af (x, i) Ət df (x,x) dt and We now consider another generic function g(x, y), without any assumption on the real variables x and y. v) Derive an equation which relates difference? dg(x, y) dx to მg(x,ყ) əx How can one interpret the

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Function of several variables, total and partial derivatives. We consider an arbitrary function f(x,x), which depends explicitly on a and i but has not explicit time-dependence. However r(t) and i(t) are explicit functions of t. iii) Write down the general form of the total infinitesimal variation df (x,x), in terms of partial derivatives. iv) Write down some mathematical expressions and explain the difference in a few words af (x, i) df (x,x) and Ət dt between We now consider another generic function g(x, y), without any assumption on the real variables x and y. v) Derive an equation which relates difference? dg(x, y) dr to მg(x,ყ) əx How can one interpret the
Transcribed Image Text:Function of several variables, total and partial derivatives. We consider an arbitrary function f(x,x), which depends explicitly on a and i but has not explicit time-dependence. However r(t) and i(t) are explicit functions of t. iii) Write down the general form of the total infinitesimal variation df (x,x), in terms of partial derivatives. iv) Write down some mathematical expressions and explain the difference in a few words af (x, i) df (x,x) and Ət dt between We now consider another generic function g(x, y), without any assumption on the real variables x and y. v) Derive an equation which relates difference? dg(x, y) dr to მg(x,ყ) əx How can one interpret the
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