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Mathematics
Problem
Let
f
(
x
)
=
2
x
5
−
3
x
4
+
x
3
−
7
f(x)=2x^5-3x^4+x^3-7
f
(
x
)
=
2
x
5
−
3
x
4
+
x
3
−
7
. (a) Find
f
′
(
x
)
f'(x)
f
′
(
x
)
. (b) Determine the slope of the tangent to the curve
y
=
f
(
x
)
y=f(x)
y
=
f
(
x
)
at
x
=
1
x=1
x
=
1
. a. Find
f
′
(
x
)
f'(x)
f
′
(
x
)
. b. Determine the slope of the tangent at
x
=
1
x=1
x
=
1
.
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