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CUET
-- Applied Mathematics - Section B2
Calculus
If x is a real, then minimum value of $x^2-8x +17 $ is :
-1
0
1
2
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 $x=4$
$f(4)=4×4-8×4+17$
$=33-32=1$