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The gradient of the graph of y = f(x) at the point (x… | StemPy Lab
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The gradient of the graph of y = f(x) at the point (x, f(x)) is (x + 1)²(x - 3)(x + 4). Which one of these intervals is a stretch where the graph keeps going down?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Application of Derivatives
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The gradient of the graph of
y
=
f
(
x
)
y = f(x)
y
=
f
(
x
)
at the point
(
x
,
f
(
x
)
)
(x, f(x))
(
x
,
f
(
x
))
is
(
x
+
1
)
2
(
x
−
3
)
(
x
+
4
)
(x + 1)^2(x - 3)(x + 4)
(
x
+
1
)
2
(
x
−
3
)
(
x
+
4
)
. Which one of these intervals is a stretch where the graph keeps going down?
(
−
4
,
−
1
)
(-4, -1)
(
−
4
,
−
1
)
only
(
−
1
,
3
)
(-1, 3)
(
−
1
,
3
)
only
(
3
,
∞
)
(3, \infty)
(
3
,
∞
)
(
−
4
,
3
)
(-4, 3)
(
−
4
,
3
)
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