TS EAMCET · Maths · Continuity and Differentiability
The function that is not differentiable at \(x=1\) is
- A \(f_1(x)=|x|,-\infty < x < \infty\)
- B \(f_2(x)=\left\{\begin{array}{cc}1+\sin (x-1), & -\infty < x \leq 1 \ x & x \geq 1\end{array}\right.\)
- C \(f_3(x)=\left\{\begin{array}{cc}x^2+7 x-7, & -\infty < x \leq 1 \ \frac{3 x-1}{2}, & x \geq 1\end{array}\right.\)
- D \(f_4(x)=\left\{\begin{array}{cc}|x-1|+|x-2|, & -\infty < x \leq 1 \ 1+x-x^3, & x \geq 1\end{array}\right.\)
Answer & Solution
Correct Answer
(D) \(f_4(x)=\left\{\begin{array}{cc}|x-1|+|x-2|, & -\infty < x \leq 1 \ 1+x-x^3, & x \geq 1\end{array}\right.\)
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