CUET Mathematics 2025 Calculus > Continuity & Differentiability PYQs

$0$

$4 t$

$\frac{4 e^{2 t}}{t}$

$\frac{e^{2 t}(4 t-1)}{t^{2}}$

$5^{x} \log _{e} 5$

$5^{x}\left(\log _{e} 5\right)^{2}$

$\frac{5^{\mathrm{x}}}{\log _{\mathrm{e}} 5}$

$\frac{5^{\mathrm{x}}}{\left(\log _{\mathrm{e}} 5\right)^{2}}$

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (I), (B) - (III), (C) - (II), (D) - (IV)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

$0$

$\pi$

$\frac{2}{\pi}$

$-\frac{2}{\pi}$

$y \frac{d^{2} y}{d x^{2}}=1$

$\frac{d^{2} y}{d^{2}}-y=0$

$\frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}=0$

$y \frac{d^{2} y}{d x^{2}}-\frac{d y}{d x}+1=0$

$x+8 y-33=0$

$12 x+y-8=0$

$x+8 y-12=0$

$x+12 y-8=0$