Let 9 f(x) = √√√3x² + 6x². Using the Chain Rule and WITHOUT algebraic simplification, the derivative of f(x) is found to be: f'(x) = 1 8 (12x³ +12x)¯* 9 9 ○ (12x³ + 12x) ³ (12x³ + 12x 9 01½-½ (3x4 + 6x²) 8 - 9 1 9 9 (3x² + 6x²)¯¯³ (12x³ + 12x) None of the above.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Let
9
f(x) = √√√3x² + 6x².
Using the Chain Rule and WITHOUT algebraic
simplification, the derivative of f(x) is found to be:
f'(x) =
1
8
(12x³ +12x)¯*
9
9
○ (12x³ + 12x) ³ (12x³ + 12x
9
01½-½ (3x4 + 6x²)
8
-
9
1
9
9
(3x² + 6x²)¯¯³ (12x³ + 12x)
None of the above.
Transcribed Image Text:Let 9 f(x) = √√√3x² + 6x². Using the Chain Rule and WITHOUT algebraic simplification, the derivative of f(x) is found to be: f'(x) = 1 8 (12x³ +12x)¯* 9 9 ○ (12x³ + 12x) ³ (12x³ + 12x 9 01½-½ (3x4 + 6x²) 8 - 9 1 9 9 (3x² + 6x²)¯¯³ (12x³ + 12x) None of the above.
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