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Given u=u(t),v=v(t),w=w(t)u = u ( t ) , \quad v = v ( t ) , \quad w = w ( t )

Question 40

Essay

Given u=u(t),v=v(t),w=w(t)u = u ( t ) , \quad v = v ( t ) , \quad w = w ( t ) are functions of t, calculate the derivative of the functions:
(a) f(t)=tu+5u3vf ( t ) = t u + 5 u ^ { 3 } v
(b) f(t)=2uvwf ( t ) = \frac { 2 u } { v w }

Correct Answer:

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