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Find the critical point of the function f(x) = x2 – 2x + 7.

User Thaangaraj
by
8.1k points

1 Answer

4 votes

Answer:


x=1 is a critical point of the function
f(x).

Explanation:


f(x)=x^2-2x+7

Differentiate both sides w.r.t.
x


\Rightarrow f'(x)=2x-2

Now,
f'(x)=0


\therefore 2x-2=0


\Rightarrow 2x=2


\Rightarrow x=1

Hence,
x=1 is a critical point of the given function.

User Justin Callison
by
8.5k points

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