TS EAMCET · Maths · Continuity and Differentiability
The values of \(x\) at which the real valued function \(f(x)=7|2 x+1|-19|3 x-5|\) is not differentiable is
- A \(1,-1\)
- B \(\frac{1}{2},-\frac{5}{3}\)
- C \(-\frac{1}{2}, \frac{5}{3}\)
- D 0,1
Answer & Solution
Correct Answer
(C) \(-\frac{1}{2}, \frac{5}{3}\)
Step-by-step Solution
Detailed explanation
\(2x+1=0 \implies x = -\frac{1}{2}\) \(3x-5=0 \implies x = \frac{5}{3}\) The function is not differentiable at \(x = -\frac{1}{2}, \frac{5}{3}\).
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- \(L_1\) is a line passing through the points with position vectors \(\hat{\mathbf{i}}-2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(4 \hat{\mathbf{i}}-3 \hat{\mathbf{k}}\). \(L_2\) is a line passing through the points with position vectors \(\hat{\mathbf{i}}+2 \hat{\mathbf{j}}-\hat{\mathbf{k}}\) and \(2 \hat{\mathbf{i}}-4 \hat{\mathbf{j}}-5 \hat{\mathbf{k}}\). Then the distance between \(L_1\) and \(L_2\) isTS EAMCET 2020 Medium
- \(\lim _{x \rightarrow 0} \frac{x^4+x^3+x^2}{\sin ^{-1}\left(\frac{x}{\sqrt{1+x^2}}\right) \cdot \tan ^{-1} x}=\)TS EAMCET 2020 Easy
- A variable straight-line \(L\) with negative slope passes through the point \((4,9)\) and cuts the positive coordinate axes in A and B. If O is the origin, then the minimum value of \(\mathrm{OA}+\mathrm{OB}\) isTS EAMCET 2025 Medium
- If \(z\) is a complex number such that \(z^2+z+1=0\), then \(\left(z+\frac{1}{z}\right)^3+\left(z^2+\frac{1}{z^2}\right)^3\) \(+\left(z^3+\frac{1}{z^3}\right)^3+\ldots . .+\left(z^{2020}+\frac{1}{z^{2020}}\right)^3=\)TS EAMCET 2020 Medium
- TS EAMCET 2021 Medium
- TS EAMCET 2021 Easy
More PYQs from TS EAMCET
- The formal charges of \(\mathrm{C}\) and \(\mathrm{O}\) atoms in \(\mathrm{CO}_2(\ddot{O}=\mathrm{C}=\ddot{\mathrm{O}}\) :) are, respectivelyTS EAMCET 2012 Medium
- In which of the following reactions, \(\mathrm{MgO}\) is not formed?TS EAMCET 2005 Medium
- Given that \(\lim _{n \rightarrow \infty} \frac{1}{n} \sum_{r=1}^{n p} f\left(\frac{r}{n}\right)=\int_0^p f(x) d x\). If \(f: \mathbb{R} \rightarrow \mathbb{R}\) is defined by \(f(x)=x^2+2\), then \[ \lim _{n \rightarrow \infty} \frac{3}{n}\left[f\left(\frac{7}{n}\right)+f\left(\frac{14}{n}\right)+f\left(\frac{21}{n}\right)+\ldots+f(7)\right]= \]TS EAMCET 2022 Hard
- A current of 15.0 amperes is passed through a solution of \(\mathrm{CrCl}_2\) for 45 minutes. The volume of \(\mathrm{Cl}_2\) (in \(\mathrm{L}\) ) obtained at the anode at \(1 \mathrm{~atm}\) and \(273 \mathrm{~K}\) is around \(\left(1 \mathrm{~F}=96500 \mathrm{C} \mathrm{mol}^{-1}\right.\), At. wt. of \(\mathrm{Cl}=35.5, \mathrm{R}=0.082\) \(\mathrm{L}\)-atmK \({ }^{-1} \mathrm{~mol}^{-1}\) )TS EAMCET 2023 Medium
- The possible final products and of the following reaction sequence are
TS EAMCET 2021 Hard - If the angular bisector of the angle A of the triangle ABC meets its circumcircle at E and the opposite side BC at D, then \(\mathrm{DE} \cos \frac{\mathrm{A}}{2}=\)TS EAMCET 2025 Medium