Алгебра.
у=х^2-4х+8,
х=2, у(2)=2^2-4×2+8=4, (2;4);
х=4, у(4)=4^2-4×4+8=8, (4; 8).
у2-у1=k(x2-x1),
8-4=k(4-2), 4=k×2, k=2.
k=y'(x)=2x-4, 2x-4=2, x0=3.
y=f(x)+f'(x)(x-x0),
f(3)=3^2-4×3+8=9-12+8=5,
f'(3)=2,
y=5+2(x-3),
y=2x-1
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Answers & Comments
Алгебра.
у=х^2-4х+8,
х=2, у(2)=2^2-4×2+8=4, (2;4);
х=4, у(4)=4^2-4×4+8=8, (4; 8).
у2-у1=k(x2-x1),
8-4=k(4-2), 4=k×2, k=2.
k=y'(x)=2x-4, 2x-4=2, x0=3.
y=f(x)+f'(x)(x-x0),
f(3)=3^2-4×3+8=9-12+8=5,
f'(3)=2,
y=5+2(x-3),
y=2x-1