Exam 1
Question
Select each of the true statements from the following:
The derivative of
G
(
x
)
=
2
x
9
G(x)=2x^9
is
2
x
10
2x^10
The derivative of
G
(
x
)
=
(
2
x
+
9
)
(
19
x
+
15
)
G(x)=(2x+9)(19x+15)
is
2
⋅
19
2 \cdot 19
Solution
False. According to the power rule the derivative of
G
(
x
)
=
a
x
r
G(x)=ax^r
is
G
′
(
x
)
=
r
a
x
r
−
1
G^'(x)=rax^{r-1}
False. According to the power rule the derivative of
G
(
x
)
=
a
x
r
G(x)=ax^r
is
G
′
(
x
)
=
r
a
x
r
−
1
G^'(x)=rax^{r-1}