Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Applications of Derivatives

Question:

The maximum value of the function $f(x)=-x^2+2 x-1$, is:

Options:

-1

0

1

2

Correct Answer:

0

Explanation:

The correct answer is Option (2) → 0

$f(x)=-x^2+2 x-1$

$y=-(x-1)^2$ so $y≤0$ always

$⇒y_{max}=0$ at $x=1$