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###### APPENDIX B TABLE OFDERIVATIVES General Formulas dc) =0 duf6) + gkr)) = f' (x) + g' (r) df(r)g(r)) = f' (r)g(x) + f(r)g' (r) (product rule) dr") =nr"- for real numbers n dcfkr)) = cf' (x) du6r) - g(r)) = f' (x) - g' (r) 43) = E()f' () = f(x)g' (2 (quotient rule) (g(r)i? dflg(r)ll = f" (gtr)} > (chain rule) Trigonometric Functions dsinx) cosX Ztanr) sec? x(secx) scrtanx(cosx) ~sinxdcotr) a(cscx) ~CeCrCO

APPENDIX B TABLE OF DERIVATIVES General Formulas dc) =0 duf6) + gkr)) = f' (x) + g' (r) df(r)g(r)) = f' (r)g(x) + f(r)g' (r) (product rule) dr") =nr"- for real numbers n dcfkr)) = cf' (x) du6r) - g(r)) = f' (x) - g' (r) 43) = E()f' () = f(x)g' (2 (quotient rule) (g(r)i? dflg(r)ll = f" (gtr)} > (chain rule) Trigonometric Functions dsinx) cosX Ztanr) sec? x (secx) scrtanx (cosx) ~sinx dcotr) a(cscx) ~CeCrCO

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