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Mathematics
Mathematics
Problem
3. Consider the function
y
=
4
−
x
2
y=\sqrt{4-x^{2}}
y
=
4
−
x
2
. Which of the following best describes
d
y
d
x
∣
x
=
2
\left.\dfrac{dy}{dx}\right|_{x=2}
d
x
d
y
x
=
2
? a)
−
∞
-\infty
−
∞
b)
−
4
-4
−
4
c) Does not exist (derivative undefined at
x
=
2
x=2
x
=
2
) d)
0
0
0
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