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1
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $y=\frac{a x+b}{c x+d}$, then $\frac{d x}{d y}=$

A

$\frac{a d-b c}{(a x+b)^2}$

B

$\frac{a d-b c}{(a-c y)^2}$

C

$\frac{a d+b c}{(c x+d)^2}$

D

$\frac{a d+b c}{(a+c y)^2}$

2
TS EAMCET 2022 (Online) 20th July Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A

$\frac{x}{y}$

B

$\frac{-x}{y}$

C

$\frac{y}{x}$

D

$\frac{-y}{x}$

3
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $f(x)=\frac{e^{-x} \sin x}{\log _e x}$ and $f^{\prime}(x)=f(x) \cdot g(x)$, then $g^{\prime}(e)=$
A

$e^{-2}-\operatorname{cosec}^2(e)$

B

$2 e^2-\operatorname{cosec}^2(e)$

C

$2 e^{-2}-\operatorname{cosec}^2(e)$

D

$2 e^{-2}+\operatorname{cosec}^2(e)$

4
TS EAMCET 2022 (Online) 20th July Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $y=\frac{e^{\sin x}+\sinh ^3 x}{\cosh x-\tan x}$, then $y^{\prime}(0)=$

A

0

B

1

C

-1

D

2

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