1
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sin^{-1}\left(\dfrac{25 - x^2}{25 + x^2}\right)$, then $y'(1)$ is...
A
$-\dfrac{5}{13}$
B
$\dfrac{5}{13}$
C
$\dfrac{13}{5}$
D
$\dfrac{2}{7}$
2
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $f(x)$ and $g(x)$ are inverse functions of each other and $f(x) = x + e^x$, then $g'(x) = $...
A
$\dfrac{1}{1 + e^{g(x)}}$
B
$\dfrac{e^{g(x)}}{1 + e^{g(x)}}$
C
$\dfrac{1}{1 + g(x)}$
D
$e^{g(x)}$
3
MHT CET 2026 19th April Evening Shift
MCQ (Single Correct Answer)
+2
-0
If $3y^2 - 2xy - x = 0$, then the value of $\dfrac{dy}{dx}$ at $y = 2$ is...
A
$\dfrac{5}{36}$
B
$\dfrac{35}{36}$
C
$\dfrac{25}{36}$
D
$\dfrac{36}{25}$
4
MHT CET 2026 19th April Morning Shift
MCQ (Single Correct Answer)
+2
-0
If $y = \sin(2\sin^{-1} x)$ then $\dfrac{dy}{dx} =$..
A
$\dfrac{2 - 4x^2}{\sqrt{1 - x^2}}$
B
$\dfrac{2 + 4x^2}{\sqrt{1 - x^2}}$
C
$\dfrac{2 - 4x^2}{\sqrt{1 + x^2}}$
D
$\dfrac{2 + 4x^2}{\sqrt{1 + x^2}}$

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