What is the equation of the tangent line

Dax Gross

Dax Gross

Answered question

2022-03-14

What is the equation of the tangent line of f(x)=x22x+8 at x=2?

Answer & Explanation

Jeremiah Dickerson

Jeremiah Dickerson

Beginner2022-03-15Added 6 answers

Explanation:
As y=x22x+8 and slope of tangent s given by function's derivative, let us
first find dydx, which is given by 2x-2 and at x=2 slope is (2×22)=2
Further at x=2, f(2)=222×2+8=44+8=8, hence tangent passes through (2,8).
Hence the tangent will be (y-8)=2(x-2) or
(y-8)=2x-4 or 2x-y+4=0

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