Find the derivative of arctan(x² + 1) -2x O f' (x) = -2a2 – a4 2x f' (æ) = x² +2 2x f' (x) x4+2x²+2 O f'(x) = 1 x4+2x² +2

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Find the derivative of arctan(x² + 1)
-2x
O f' (x) =
-2x² –xª
O f'(x) =
2x
x² +2
2x
O f' (æ):
x4+2x2+2
) =
1
O f' (x)
x4+2x²+2
Transcribed Image Text:Find the derivative of arctan(x² + 1) -2x O f' (x) = -2x² –xª O f'(x) = 2x x² +2 2x O f' (æ): x4+2x2+2 ) = 1 O f' (x) x4+2x²+2
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