Differentiability is an important topic in the Mathematics section in VITEEE exam. Practising this topic will increase your score overall and make your conceptual grip on VITEEE exam stronger.
This article gives you a full set of VITEEE PYQs for Differentiability with explanations for effective preparation. Practice of VITEEE Mathematics PYQs including Differentiability questions regularly will improve accuracy, speed, and confidence in the VITEEE 2026 exam.
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VITEEE PYQs for Differentiability with Solutions
1.
The value of $f(0)$ so that $\frac{\left(-e^{x} +2^{x}\right)}{x}$may be continuous at $x = 0$ is- $log\left(\frac{1}{2}\right)$
- 0
- 4
- - 1 + log 2
2.
If $f: R \rightarrow R$ is defined by $f(x)=\begin{cases}\frac{2 \sin x-\sin 2 x}{2 x \cos x}, & \text { if } x \neq 0 \\ a, & \text { if } x=0\end{cases}$ then the value of a so that f is continuous at $0$ is- 2
- 1
- -1
- 0
3.
Let $f ' (x),$ be differentiable $\forall \, x.$ If $f (1) = -2$ and $f '(x) \geq 2 \forall x \in [1, 6],$ then- $f (6) < 8 $
- $f (6) \geq 8$
- $f (6) \geq 5 $
- $f (6) \leq 8$
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