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The derivative of a function f is f'(x) = x² + 4 for… | StemPy Lab
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The derivative of a function f is f'(x) = x² + 4 for every real x. What can be said about f?
Mathematics
Easy
High School (11–12)
Functions and Calculus › Application of Derivatives
A-Level
AP
IB
Created by
StemPy Lab
The derivative of a function
f
f
f
is
f
′
(
x
)
=
x
2
+
4
f'(x) = x^2 + 4
f
′
(
x
)
=
x
2
+
4
for every real
x
x
x
. What can be said about
f
f
f
?
f
f
f
is strictly increasing on
R
\mathbb{R}
R
f
f
f
is strictly decreasing on
R
\mathbb{R}
R
f
f
f
falls for
x
<
0
x < 0
x
<
0
and rises for
x
>
0
x > 0
x
>
0
f
f
f
has a flat point at
x
=
0
x = 0
x
=
0
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