Find the differential of the function. T = v/6 + uvw

Solution:

We will make use of the concept of the Differential equation to find the function.

An equation that contains the derivative of a function is called a differential function.

dT = (მT/მu) du + (მT/მv) dv + (მT/მw) dw

= (-v(vw)/(6 + uvw)²) du + (6 + uvw - -v(uw)/(6 + uvw)²) dv + (-v(uv)/(6 + uvw)²) dw

= 6/(6 + uvw)² ( -v²w du + dv - uv² dw)

dT = 6/(6 + uvw)² ( -v²w du + dv - uv² dw)

Thus the differential of the function T = v/6 + uvw is dT = 6/(6 + uvw)² ( -v²w du + dv - uv² dw)

Find the differential of the function. T = v/6 + uvw

Summary:

The differential of the function T = v/6 + uvw is dT = 6/(6 + uvw)2 ( -v2w du + dv - uv2 dw)