Math 1524 Homework 9
Section 9.4-9.5
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Problem 1: Calculate the derivatives for the functions below at the given x-values.
(a) f(x)=x29x+7,a =4
(b) g(x)= 12
x7,a=2
(c) f(x)=px5,a=4
(d) g(x) = 9(x46x5),a=1
(e) f(x)= 9
x3,a=2
(f) g(x)=|x|,a =0
f(x)
=
2x
-
0
-(4)
=
2(4)
-
N
=
8
-
D
f((4)
=
-
1
12x)
-
2
x
3)
=
-
y
= -
g((2)
=
E
+(4)
=
20
f(x)
=
x
*2
+(4)
=
(4)
=
20
g((X)
=
0x4
-
54x5
=
36x3
-
270x4
9((7)
=
36(7)
-
270(5)4
9((1)
=
-
234
f'()
=
=
-
=-2742
f(2)
=
-
27(2)
=
- 108
+(2)
=
108
g((x)
=
G(X)
9/10)
=
undefined
=
/im
1x)
.
(x+n1
+
/x)
h
-
0
n
-am
it is on
el
n
I
+
h2
-im
th2--w
int
-so
i
n5
On((Xth1
+(x))
=
=
