Calculus 1 Quiz
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DERIVATIVES: DEFINITION & RULES
Question 1
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Let
f
(
x
)
=
x
2
cos
(
x
)
f(x) = x^2 \cos(x)
f
(
x
)
=
x
2
cos
(
x
)
. What is the second derivative,
f
′
′
(
x
)
f''(x)
f
′′
(
x
)
?
A
(
2
−
x
2
)
cos
(
x
)
−
4
x
sin
(
x
)
(2-x^2)\cos(x) - 4x\sin(x)
(
2
−
x
2
)
cos
(
x
)
−
4
x
sin
(
x
)
B
(
2
+
x
2
)
cos
(
x
)
−
4
x
sin
(
x
)
(2+x^2)\cos(x) - 4x\sin(x)
(
2
+
x
2
)
cos
(
x
)
−
4
x
sin
(
x
)
C
2
cos
(
x
)
−
2
x
sin
(
x
)
2\cos(x) - 2x\sin(x)
2
cos
(
x
)
−
2
x
sin
(
x
)
D
2
x
cos
(
x
)
−
x
2
sin
(
x
)
2x\cos(x) - x^2\sin(x)
2
x
cos
(
x
)
−
x
2
sin
(
x
)
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