Partial differentiation and chain rule

Reference no: EM13128343

The problem states: Find dw/dt (a) using the appropriate chain rule and (b) by converting w to a function of t before differentiating.

w = xy x = s sin t, y = cos t

the solution in my solution manual goes like this:

a) using the chain rule they come up with: 2y cos t + x(-sin t) = 2y cos t - x sin t =

2(cos^2t - sin^2t) = 2 cos 2t

b) w = 2 sin t cos t = sin 2t, dw/dt = 2 cos 2t

Reference no: EM13128343

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