ECON 11A Study Guide - Quiz Guide: Root Mean Square, Marginal Cost
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Spring 2016: use the di erentiation formul (shortcuts) to nd the derivatives of the functions below. Clean up your answers. (a) (2 pts) f (x) = 3x4 + 3x2 + 5x 2; (b) (2 pts) v = 3 t + 2 t3 ; dv dt d dt f(cid:48)(x) = 12x3 + 6x + 5 (cid:0)3t1/2 + 2t 3(cid:1) = 3 1 t 1/2 + 2 ( 3)t 4 = t 1/2 6t 4. 10x2 + 4x 15 (5x + 1)2: (4 pts) use the de nition to compute the derivative of g(x) = 2x2 + 3. Show your work and use the limit" notation correctly. g(x + h) g(x) h. 2(x + h)2 + 3 (2x2 + 3) h. 2x2 + 4xh + 2h2 + 3 . = 4x: (5 pts) a rm"s marginal cost function is given by dc dq.
