1
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
$\frac{\sqrt{3}}{2}$
2
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
$\frac{1990 x^2}{y}$
3
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $2 x^2-3 x y+4 y^2+2 x-3 y+4=0$, then $\left(\frac{d y}{d x}\right)_{(3,2)}=$
A
-5
B
$\frac{5}{7}$
C
-2
D
$\frac{2}{7}$
4
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $x=\frac{9 t^2}{1+t^4}$ and $y=\frac{16 t^2}{1-t^4}$ then $\frac{d y}{d x}=$

A
$\frac{16}{9}\left(\frac{1-t^4}{1+t^4}\right)^3$
B
$\frac{16}{9} \frac{\left(1-t^4\right)}{\left(1+t^4\right)}$
C
$\frac{9}{16} \frac{\left(1-t^4\right)}{\left(1+t^4\right)}$
D
$\frac{16}{9}\left(\frac{1+t^4}{1-t^4}\right)^3$
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