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4. Write down the product rule and the quotient rule for derivatives below: (ng = W : 9 5. * ( 5 +515 +5)Use the Product/ Quotient Rule to calculate the derivative for the function f; (a) 5> f(s) : (5% + 85m 51) (b) (-/5) for) : $2:ng (c) (-/5) f(x) = 2: (0 (-/5) f (:13) : tanr) 111(33) 0/2 _ 6. Letf(3:):T 2x+3 (a) By doing a little algebra on this, rewrite f (3;) in a form where you wouldn't have to use the Quotient Rule to compute its derivative, then compute the derivative f'(x) without using the Quotient Rule. (b) Compute the derivative f'($) using the Quotient Rule, and verify that you get the same result as in part (a). 1 (C) Nowletg(f17) = m the same type of algebra trick on this to avoid using the Quotient Rule?) . Compute its derivative function g'($). (Can you do