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1) y = - 15x² + 3x y ' = - 30x y'(5) = - 30 * 5 = - 150 2) y = y' = y'(1) = 3) y = (x + 1)* tgx y' = (x+1)' * tgx + (x+1) * (tgx)' = tgx + (x+1) * y'(π/4) = tg π/4 + (π/4 + 1) * = 1 + + 2(π/4 + 1) = 1 + π/2 + 2 = 3 + π/2 4) y = (Sinx+3)(Cosx-1) y' = (Sinx+3)'(Cosx-1)+(Sinx+3)(Cosx-1)' = Cosx(Cosx-1) - (Sinx+3)Sinx y'(π/6) = Cos π/6(Cos π/6 - 1) - (Sin π/6 + 3)Sin π/6 = (- 1) - (+ 3)* =