1. y = x^2 + x - 1; x0 = -2
y' = 2x + 1; y'(-2) = -3
2. y = tan x - x; x0 = π
y' = sec^2 x - 1; y'(π) = 0
3. y = 2sin x - 1; x0 = хо
y' = 2cos x; y'(хо) = 2cos(хо)
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Answers & Comments
1. y = x^2 + x - 1; x0 = -2
y' = 2x + 1; y'(-2) = -3
2. y = tan x - x; x0 = π
y' = sec^2 x - 1; y'(π) = 0
3. y = 2sin x - 1; x0 = хо
y' = 2cos x; y'(хо) = 2cos(хо)