1
AP EAPCET 2024 - 20th May Evening Shift
MCQ (Single Correct Answer)
+1
-0
If $y=t^2+t^3$ and $x=t-t^4$, then $\frac{d^2 y}{d x^2}$ at $t=1$ is
A
$\frac{-2}{3}$
B
$\frac{-4}{3}$
C
$\frac{8}{3}$
D
4
2
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=\tan (\log x)$, then $\frac{d^2 y}{d x^2}=$
A
$\frac{-\sec ^2(\log x)[1+2 \tan x]}{x^2}$
B
$\frac{\sec ^2(\log x)[1+\tan (\log x)]}{x^2}$
C
$\frac{\sec (\log x)[2 \tan (\log x)-1]}{x^2}$
D
$\frac{\sec ^2(\log x)[2 \tan (\log x)-1]}{x^2}$
3
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
For $x<0, \frac{d}{d x}\left[|x|^x\right]=$
A
$(-x)^x[-1+\log (-x)]$
B
$(-x)^x[1+\log (-x)]$
C
$(-x)^x[1-\log (-x)]$
D
$(-x)^x[-1-\log (-x)]$
4
AP EAPCET 2024 - 20th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
If $y=x-x^2$, then the rate of change of $y^2$ with respect to $x^2$ at $x=2$ is
A
0
B
-1
C
3
D
9
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