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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 41

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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 ) are functions of t, calculate the derivative of the functions:
(a) f(t)=u2+3vf ( t ) = u ^ { 2 } + 3 v
(b) f(t)=2uvwf ( t ) = 2 u \sqrt { v - w }

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