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← CBSE Class 12 PYQ
Continuity and Differentiability
CBSE Class 12 · Mathematics · 41 past questions
Topic
Continuity
8
Differentiation techniques
6
Increasing, decreasing and extrema
3
Differentiability
2
Parametric differentiation
2
Rate of change
2
Second order derivatives
0
Level
Easy
6
Moderate
8
Year
2026
2
2025
1
2024
2
2023
1
6 of 41 ·
show all
Q2
2026
If $e^{-x}+e^{-y}=2$, then $\frac{dy}{dx}$ is
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Q7
2026
If $\sin^{-1} x = y$, then $\frac{dy}{dx}$ is…
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Q14
2025
Differentiate $2^{\cos^2 x}$ w.r.t. $\cos^2 x$.
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Q26
2024
The derivative of $\sin(x^2)$ w.r.t. $x$, at $x = \sqrt{\pi}$ is…
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Q32
2024
The derivative of $\tan^{-1}(x^2)$ w.r.t. $x$ is…
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Q36
2023
If $y = \frac{\cos x - \sin x}{\cos x + \sin x}$, then $\frac{dy}{dx}$ is…
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