if f(x) = under root 4-x^2 and x belongs to (-2,2), find f’(x)
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1
Answer:
Before offering a solution to the problem, let me tell you an easy method of finding the derivative of
√
x
You put the derivative of
x
in the numerator and multiply the given function with 2 and put it in the denominator.
The derivative of
√
x
=
1
2
√
x
Use this simple technique in the given problem
==================
Now the problem
Given -
y
=
x
.
(
√
4
−
x
2
)
d
y
d
x
=
x
.
[
−
2
x
2
√
4
−
x
2
]
+
√
4
−
x
2
.
(
1
)
d
y
d
x
=
−
2
x
2
2
√
4
−
x
2
+
√
4
−
x
2
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