Find the differential of the function. T=v/1+uvw

Question

Find the differential of the function.

T = \frac{v}{1} + u v w

Answer 1

$d T = (d e l T) / (d e l u) d u + (d e l T) / (d e l v) d v + (d e l T) / (d e l w) d w$

$= (- v (v w)) / (1 + u v w)^{2} d u + (1 + u v w - v (u w)) / (1 + u v w)^{2} + (- v (u v)) / (1 + u v w)^{2}$

$= 1 / (1 + u v w)^{2} (- v^{2} w d u + d v - u v^{2} d w)$

$d T = 1 / (1 + u v w)^{2} (- v^{2} w d u + d v - u v^{2} d w)$

Find the differential of the function. T=v/1+uvw

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