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Mathematics
Mathematics
Problem
If
y
=
sin
x
y = \sqrt{\sin \sqrt{x}}
y
=
sin
x
, then
d
y
d
x
=
\frac{dy}{dx} =
d
x
d
y
=
(a)
1
2
cos
x
\frac{1}{2\sqrt{\cos \sqrt{x}}}
2
c
o
s
x
1
(b)
cos
x
2
x
\frac{\sqrt{\cos \sqrt{x}}}{2x}
2
x
c
o
s
x
(c)
cos
x
4
x
sin
x
\frac{\cos \sqrt{x}}{4\sqrt{x}\sqrt{\sin \sqrt{x}}}
4
x
s
i
n
x
c
o
s
x
(d)
1
2
sin
x
\frac{1}{2\sqrt{\sin x}}
2
s
i
n
x
1
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