1
TG EAPCET 2024 (Online) 10th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=a \cos 3 x+b e^{-x}$, then $y^{\prime \prime}(3 \sin 3 x-\cos 3 x)=$
A
$10 y^{\prime} \sin 3 x+3 y(\sin 3 x+3 \cos 3 x)$
B
$10 y^{\prime} \cos 3 x+3 y(\sin 3 x+3 \cos 3 x)$
C
$10 y \cos 3 x+3 y(\cos 3 x+3 \sin 3 x)$
D
$10 y^{\prime} \cos 3 x+3 y(\sin 3 x-3 \cos 3 x)$
2
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\frac{\tan x \cos ^{-1} x}{\sqrt{1-x^2}}$, then the value of $\frac{d y}{d x}$, when $x=0$ is
A
0
B
$\frac{\pi}{2}$
C
1
D
$\frac{\pi}{6}$
3
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $y(\cos x)^{\sin x}=(\sin x)^{\sin x}$, then the value of $\frac{d y}{d x}$ at $x=\frac{\pi}{4}$ is
A
0
B
1
C
$\sqrt{2}$
D
$\frac{\sqrt{3}}{2}$
4
TG EAPCET 2024 (Online) 9th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $y=44 x^{45}+45 x^{-44}$, then $y^n=$
A
$\frac{1980 y}{x^2}$.
B
$\frac{2020 x^2}{y}$
C
$\frac{2024 y}{x^2}$
D
$\frac{1990 x^2}{y}$
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