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Problems coming under other departments must be posted into the respective sections.
This section is a dedicated section for Maths only forum so please dont post problems under mechanical, electronics or any other in this category.



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sritejatheboss
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Mon Aug 31, 2009 2:04 am
Post subject: Total Derivative Post
The total derivative is the derivative with respect to t of the function y=f(t,u_1,...,u_m) that depends on the variable t not only directly but also via the intermediate variables u_1=u_1(t,u_1,...,u_m),...,u_m=u_m(t,u_1,...,u_m). It can be calculated using the formula
(partialy)/(partialt)=(partialf)/(partialt)+(partialf)/(partialu_1)(partialu_1)/(partialt)+...+(partialf)/(partialu_m)(partialu_m)/(partialt).

The total derivative of a function f(t,x,y,...) with respect to t is implemented in Mathematica as Dt[f[t, x, y, ...], t].
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