1. Tardigrade
  2. Question
  3. Mathematics
  4. Let f(x)= begincasesx2-2|x|+a, x ≤ 1 6+x, x >1 endcases, then number of positive integral value(s) of ' a ' for which f(x) has local minima at x=1, is/are

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Let $f(x)=\begin{cases}x^2-2|x|+a, & x \leq 1 \\ 6+x, & x >1\end{cases}$, then number of positive integral value(s) of ' $a$ ' for which $f(x)$ has local minima at $x=1$, is/are

Application of Derivatives

Solution:

$a-1 \leq 7$
$\Rightarrow a \leq 8 $

Solution Image