$f(x)=x^2-2x$ has a critical point at

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Relations and Functions

Question:

$f(x)=x^2-2x$ has a critical point at

Options:

$x=0$

$x=1$

$x=2$

$x=-1$

Correct Answer:

$x=1$

Explanation:

The correct answer is Option (2) → $x=1$

$f(x)=x^2-2x$

for critical points, $f'(x)=0$

$⇒f'(x)=2x-2=0$

$⇒2x=2$

$⇒x=1$