Смотри ответ на фотографии
Ответ:
Пошаговое объяснение:
1) 2 2/9 × 27/40=20/9*27/40=3/2=1 1/2
1 1/2+1/4=1 2/4+1/4=1 3/4=1.75
1.75:0.2=8.75
8.75-0.02=8.73
2) 0.25+5/16=1/4+5/16=4/16+5/16=9/16
9/16:9/32=9/16*32/9=2
2*1.2=2.4
2.4-1.12=1.28
3) 83,2 -80 1/60=83 1/5-80 1/60=83 12/60-80 1/60=3 11/60
3 11/60*3/13=191/60*3/13=191/260
4) 0.26-1/20=0.26-0.05=0.21
0.21*3 4/7=21/100*25/7=3/4
f(x) = -x^2 + 9x - 9
f'(x) = -2x + 9
f'(-1) = 2 + 9 = 11
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f'(x0) = lim(Δx->0) (f(x+Δx) - f(x0))/Δx
Δf(x) = f(Δx+x0) - f(x0) = -(Δx+x0)^2 + 9(Δx+x0) - 9 - (-(x0) ^ 2 + 9x0 - 9) = -Δx^2 - 2Δx*x0 - x0^2 + 9Δx + 9x0 - 9+ x0^2 - 9x0 + 9 = -Δx^2 - 2Δx*x0 + 9Δx
f'(x0) = lim(Δx->0) (-Δx^2 - 2x*x0 + 9Δx)/Δx = lim(Δx->0) (-Δx - 2x0 + 9) = 2x0 + 9
f'(-1) = -2*(-1) + 9 = 2 + 9 = 11
1)5*25+12=125+12=137/25
2)20*9+4=180+4=184/9