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For which values of k is f(x) = kx - sin x strictly… | StemPy Lab
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For which values of k is f(x) = kx - sin x strictly increasing on the whole real line?
Mathematics
Medium
High School (11–12)
Functions and Calculus › Application of Derivatives
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StemPy Lab
For which values of
k
k
k
is
f
(
x
)
=
k
x
−
sin
x
f(x) = kx - \sin x
f
(
x
)
=
k
x
−
sin
x
strictly increasing on the whole real line?
k
≤
1
k \le 1
k
≤
1
k
>
2
k > 2
k
>
2
k
≥
−
1
k \ge -1
k
≥
−
1
k
≥
1
k \ge 1
k
≥
1
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← The function f(x) = x/(x² + 1) has derivative f'(x) = (1 - x²)/((x² + 1)²). On which interval is f strictly increasing?
Water runs into an upright cylindrical tank of radius 2 m at 0.7 m³ per minute. How fast does the water level rise? →
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