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Question 67
Given u=u(t),v=v(t),w=w(t)u = u ( t ) , \quad v = v ( t ) , \quad w = w ( t )u=u(t),v=v(t),w=w(t) are functions of t, calculate the derivative of the functions: (a) f(t)=u2+3vf ( t ) = u ^ { 2 } + 3 vf(t)=u2+3v (b) f(t)=2uv−wf ( t ) = 2 u \sqrt { v - w }f(t)=2uv−w
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