1
TG EAPCET 2024 (Online) 9th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
A particle moving from a fixed point on a straight line travels a distance $S$ metres in $t \mathrm{sec}$. If $S=t^3-t^2-t+3$, then the distance (in mts) travelled by the particle when it comes to rest, is
A
5
B
4
C
2
D
3
2
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $\sec \left(\log _2 y^2\right)=\operatorname{cosec}\left(\log _2 x^2\right)$, then $\frac{d y}{d x}=$

A
$\frac{x}{y}$
B
$\frac{y}{x}$
C
$-\frac{y}{x}$
D
$-\frac{x}{y}$
3
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

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

A
$\sinh x$
B
$\cosh x$
C
$\tanh x$
D
$-\sinh x$
4
TS EAMCET 2023 (Online) 12th May Evening Shift
MCQ (Single Correct Answer)
+1
-0

If $x=\log p$ and $y=\frac{1}{p}$, then $\frac{d y}{d x}=$

A
$-e^{-x}$
B
$e^x$
C
$x$
D
$y$
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