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Mathematics
Mathematics
Problem
Which of the following functions are not derivable at
x
=
0
x = 0
x
=
0
? a.
f
(
x
)
=
sin
−
1
2
x
1
−
x
2
f(x) = \sin^{-1} 2x \sqrt{1-x^2}
f
(
x
)
=
sin
−
1
2
x
1
−
x
2
b.
g
(
x
)
=
sin
−
1
(
2
x
+
1
1
+
4
x
)
g(x) = \sin^{-1} \left( \frac{2^x+1}{1+4^x} \right)
g
(
x
)
=
sin
−
1
(
1
+
4
x
2
x
+
1
)
c.
h
(
x
)
=
sin
−
1
(
1
−
x
2
1
+
x
2
)
h(x) = \sin^{-1} \left( \frac{1-x^2}{1+x^2} \right)
h
(
x
)
=
sin
−
1
(
1
+
x
2
1
−
x
2
)
d.
k
(
x
)
=
sin
−
1
(
cos
x
)
k(x) = \sin^{-1} (\cos x)
k
(
x
)
=
sin
−
1
(
cos
x
)
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