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Анастасия33266
@Анастасия33266
July 2022
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kalbim
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# 11. 1) f'=3; 2) 5; 3) -6x; 4) 6x - 5
# 10. 1) дельта у = 4(x+h) - 4x = 4h
2) дельта у = (x+h-1) - (x-1) = x+h-1-x+1 = h
3) дельта у = 4(x+h)^2 - 4x^2 = 4x^2 + 8xh + 4h^2 - 4x^2 = 4h*(h+2x)
4) дельта у = (x+h)^2 - 2 - (x^2 - 2) = x^2 + 2xh + h^2 - 2 - x^2 + 2 = 2xh + h^2 = h(2x+h)
5) дельта у = ((x+h)^3 - (x+h)^2) - (x^3 - x^2) = (x+h)^2 * (x+h-1) - x^3 + x^2 = (x^2+2xh+h^2)(x+h-1) - x^3 + x^2 = x^3 + hx^2 - x^2 + 2h*x^2 - 2xh + xh^2 + h^3 - h^2 - x^3 + x^2 = hx^2 + 2hx^2 - 2xh + xh^2 + h^3 - h^2 = 3hx^2 - 2xh + xh^2 + h^3 + h^2
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Анастасия33266
спасибо огромное. а тв сможешь еще 6 дописать в номере 10 и расписать #1 в номере 11
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Answers & Comments
Verified answer
# 11. 1) f'=3; 2) 5; 3) -6x; 4) 6x - 5# 10. 1) дельта у = 4(x+h) - 4x = 4h
2) дельта у = (x+h-1) - (x-1) = x+h-1-x+1 = h
3) дельта у = 4(x+h)^2 - 4x^2 = 4x^2 + 8xh + 4h^2 - 4x^2 = 4h*(h+2x)
4) дельта у = (x+h)^2 - 2 - (x^2 - 2) = x^2 + 2xh + h^2 - 2 - x^2 + 2 = 2xh + h^2 = h(2x+h)
5) дельта у = ((x+h)^3 - (x+h)^2) - (x^3 - x^2) = (x+h)^2 * (x+h-1) - x^3 + x^2 = (x^2+2xh+h^2)(x+h-1) - x^3 + x^2 = x^3 + hx^2 - x^2 + 2h*x^2 - 2xh + xh^2 + h^3 - h^2 - x^3 + x^2 = hx^2 + 2hx^2 - 2xh + xh^2 + h^3 - h^2 = 3hx^2 - 2xh + xh^2 + h^3 + h^2