Limits and Derivatives Exercises, Exercises of Mathematics

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‘Derivatives of a Function / Basic Rule © Y= -10 dy — +o ay @ ue Sls dy ax say dy — xt ax ® sex" ay oat — 72k dx, dy — dx @ yest dy —-+— 5< dx = 5(2),7" dy — = 10x dx © Y= -ox” do od Ly — Fs Ox dx =-o(2)0" dy A — = lx dx © ye 24° a! # ~ 2a)" ax * any no. that is raised to 0 2Ox?- 2x" ig equalto 1, +O? -2(1) a aid = b-2 @ vee ey yea a 4 Hy ta-t — = na(s k x , an - yo oth — =o dx -10 Over vf) Ye r10x" = +x" = 1-4)" dy = 40x" dx 6 t nab oa pase @ 9-42 + 2¢ - fo: 240) 0742(D2"-0 dy sleet dx Wet? tac? tax a8(o)e 22) A(x sree (HK?) + ax? dy a er ax @ t() = ante lim 2(xth)es - (2x46) “a0 h fim Korth he h "ho _ tim a Wo F(x)*2 @ t)= 8 42x tim (xthy (x th) = (xt + 9x) ho h lim A+ aah tA 9h + on xk ok = wo h lim duh th? + 3h = 49 ————_ h lim (te tht 2) “4-0 ——__— «lim noo 2K t2th Fie1 30 f(x) =m 19