Differentiation is an important topic in the Mathematics section in TS EAMCET exam. Practising this topic will increase your score overall and make your conceptual grip on TS EAMCET exam stronger.
This article gives you a full set of TS EAMCET PYQs for Differentiation with explanations for effective preparation. Practice of TS EAMCET Mathematics PYQs including Differentiation questions regularly will improve accuracy, speed, and confidence in the TS EAMCET 2026 exam.
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TS EAMCET PYQs for Differentiation with Solutions
1.
The values of x at which the real valued function $f(x)=7|2x+1|-19|3x-5|$ is not differentiable is- 1, -1
- $\frac{1}{2}, \frac{5}{3}$
- $-\frac{1}{2}, \frac{5}{3}$
- 0, 1
2.
If $y^3=x$ then the value of $\frac{dy}{dx}$ at $x=1$ is- -3
- 3
- $\frac{1}{3}$
- $\frac{1}{\sqrt{3}}$
3.
If $y=(1-x^2)\text{Tanh}^{-1}x$ then $\frac{d^2y}{dx^2}=$- $\frac{2xy}{(1+x^2)^2}$
- $\frac{(x+y)}{(1-x^2)^2}$
- $\frac{2(xy)}{1-x^2}$
- $\frac{2(x+y)}{1-x^2}$
4.
If $f(x) = \log_{(x-1)^2}(x^2-3x+2)$, $x \in \mathbb{R}-[1,2]$ and $x\neq0$, then $f'(3)=$- 1
- 0
- $\log_e 4$
- $\log_4 e$
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