1
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

If $$3 \sin x y+4 \cos x y=5$$, then $$\frac{d y}{d x}$$ is equal to

A
$$\frac{3 \sin x y+4 \cos x y}{3 \cos x y-4 \sin x y}$$
B
$$\frac{3 \cos x y+4 \sin x y}{4 \cos x y-3 \sin x y}$$
C
$$\frac{-y}{x}$$
D
$$\frac{x}{y}$$
2
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

$$f(x)=\sqrt{x^2+1}: g(x)=\frac{x+1}{x^2+1}: h(x)=2 x-3$$, then the value of $$f^{\prime}\left[h^{\prime}\left(g^{\prime}(x)\right)\right]$$ is equal to

A
$$\sqrt{5}$$
B
$$\frac{2}{\sqrt{5}}$$
C
$$\frac{\sqrt{5}}{2}$$
D
$$\frac{1}{\sqrt{5}}$$
3
AP EAPCET 2021 - 19th August Morning Shift
MCQ (Single Correct Answer)
+1
-0

For which value(s) of $$a$$ $$f(x)=-x^3+4 a x^2+2 x-5$$ is decreasing for every $$x$$ ?

A
(1, 2)
B
(3, 4)
C
R
D
no value of a
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