5. [12 marks) Find the derivatives of the following functions. [you don't need to simplify the nal answer, but you must Show how you calculate it): (a) n?) = Six/3 (-1"- + 33'3\"] 3:3.I [bl flxl = m (c) a') = cos (xi/E) + v.3 tans: [{1} x) 2 sin[.r cos(:n) + 1:2 + 0052(3)] 6. (8 marks) Given the function rs) = V33 + 7, {a} Calculate f'(:r) using its denition as a limit of difference quotient. (b) Check that your calculation is correct using standard differentiation rules. {c} Write equation of the tangent line to the curve 1' = f (3:) at the point (3, 4}