1
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $$y = {\cos ^2}{{3x} \over 2} - {\sin ^2}{{3x} \over 2}$$, then $${{{d^2}y} \over {d{x^2}}}$$ is

A
9y
B
$$ - 3\sqrt {1 - {y^2}} $$
C
$$3\sqrt {1 - {y^2}} $$
D
$$ - 9y$$
2
COMEDK 2020
MCQ (Single Correct Answer)
+1
-0

If $${x^x} = {y^y}$$, then $${{dy} \over {dx}}$$ is

A
$$ - {x \over y}$$
B
$$ - {y \over x}$$
C
$${{1 + \log x} \over {1 + \log y}}$$
D
$$1 + \log \left( {{x \over y}} \right)$$
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