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Mathematics
Mathematics
Problem
Show that
d
d
x
[
x
2
a
2
−
x
2
+
a
2
2
sin
−
1
x
a
]
=
a
2
−
x
2
.
\frac{d}{dx} \left[ \frac{x}{2} \sqrt{a^2 - x^2} + \frac{a^2}{2} \sin^{-1} \frac{x}{a} \right] = \sqrt{a^2 - x^2}.
d
x
d
[
2
x
a
2
−
x
2
+
2
a
2
sin
−
1
a
x
]
=
a
2
−
x
2
.
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