of the vertical distances of the line y = mx from the points (2, 1), (4, 3), (–2, –2), marginal revenue (dR/dx) equals marginal expense (dE/dx). D. Simonton. Harmonic series: Hn = n i=1 1 i, n i=1 iHi = n(n + 1) 2 Hn − n(n − 1) 4. n i=1 Hi .. d(sech u) dx = − sech u tanh u du dx, d(csch u) dx = − csch u coth u du. 4 Fig. On the other hand, dy and y are related. In particular, lim x!0 y x . d dx au ¼ au ln a du dx d dx cosh 1 u ¼ 1ffiffiffiffiffiffiffiffiffiffiffiffiffi u2 1 p.

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