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Question
Find the derivatives of the following functions with respect to corresponding independent variables:
g(t) = t3 cos t
Solution
g(t) = t3 cos t
(i.e.) u = t3 and v = cos t
Let u’ = `("d"u)/("d"x)` and v’ = `("d"v)/("d"x)` = (– sin t)
g'(t) = uv’ + vu’
g'(t) = t3 (– sin t) + cos t (3t2)
= – t3 sin t + 3t2 cos t
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