Mathematics 1 Deneme Sınavı Sorusu #1357115

y=x-1

y=2x-3

y=3x-5

y=x+1

y=x

Yanıt Açıklaması:

The equation of tangent line is given by the formula:

y – f(x₀) = f'(x₀)(x – x₀)

x₀=2 and f(x₀)=1 are given.

Since f(x)=x²-2x+1 then f'(x)=2x-2 and f'(x₀)=2*2-2=2 for x₀=2.

Thus the equation for the tangent line will be:

y-1=2(x-2)

y-1=2x-4

y=2x-3

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