Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Calculus

Question:

If x is a real, then minimum value of $x^2-8x +17 $ is :

Options:

-1

0

1

2

Correct Answer:

1

Explanation:

The correct answer is Option (3) → 1

$f(x)=x^2-8x +17$

$f'(x)=2x-8$ and for critical point $f'(c)=0$

$⇒2c-8=0$

$⇒c=4$

$f(x)$ is minimum at $x=4$

$f(4)=4×4-8×4+17$

$=33-32=1$