Let 4 f(t) == √√ t³ + 8t² Using the Chain Rule and WITHOUT algebraic simplification, the derivative of f(x) is found to be: f'(t) = ——— - ( + ³ + 8 + ²) — 3/3 2 (3+² + 16+) / (3+² + 16+) - 2 (+³ + 8t²) ¯ ½³ (3+² + 16t) 9 (3t² + 16t) 8 - (31 None of the above.

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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Let
4
f(t)
==
√√ t³ + 8t²
Using the Chain Rule and WITHOUT algebraic
simplification, the derivative of f(x) is found to be:
f'(t) =
——— -
( + ³ + 8 + ²) — 3/3
2
(3+² + 16+) / (3+² + 16+)
-
2
(+³ + 8t²) ¯ ½³ (3+² + 16t)
9
(3t² + 16t)
8
- (31
None of the above.
Transcribed Image Text:Let 4 f(t) == √√ t³ + 8t² Using the Chain Rule and WITHOUT algebraic simplification, the derivative of f(x) is found to be: f'(t) = ——— - ( + ³ + 8 + ²) — 3/3 2 (3+² + 16+) / (3+² + 16+) - 2 (+³ + 8t²) ¯ ½³ (3+² + 16t) 9 (3t² + 16t) 8 - (31 None of the above.
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