1
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0

    If $y=\sqrt{\sin x+\sqrt{\sin x+\sqrt{\sin x+\ldots \infty}}}$, then the value of $\frac{d^2 y}{d x^2}$ at the point $(\pi, 1)$ is

A
2
B
-2
C
$-\frac{1}{2}$
D
$\frac{1}{2}$
2
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
64. If $f(0)=0, f^{\prime}(0)=3$, then the derivative of $y=f(f(f(f(f(x)))))$ at $x=0$ is
A
16
B
32
C
81
D
243
3
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
The value of Lagrange's mean value theorem for $f(x)=e^x+24$ in $[0,1]$ is
A
$\log (e-1)$
B
$\log (e+1)$
C
$\log (e+24)$
D
$\log (e-24)$
4
AP EAPCET 2024 - 22th May Morning Shift
MCQ (Single Correct Answer)
+1
-0
Equation of the normal to the curve $y=x^2+x$ at the point $(1,2)$ is
A
$x-3 y+5=0$
B
$x+3 y+5=0$
C
$x+3 y+7=0$
D
$x+3 y-7=0$
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