x³ (4x - 4)5 Let f(x) = 3x² - 3 If we use the method of logarithmic differentiation to find f'(x), we obtain f'(x) in the form x³ (4x-4)5 3x²-3 ƒ'(x) = = (A(x) + B(x) 4x4 + C(x) 3x² - 3 where A(x), B(x) and C(x) are functions of x. Find them.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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Let f(x):
=
³x (4x — 4)5
3x² 3
If we use the method of logarithmic differentiation to find f'(x), we obtain f'(x) in the form
x³ (4x - 4)5
C(x)
√3x² - 3
3x² – 3
f'(x)
A(x) +
B(x)
4x 4
+
where A(x), B(x) and C(x) are functions of x. Find them.
Transcribed Image Text:Let f(x): = ³x (4x — 4)5 3x² 3 If we use the method of logarithmic differentiation to find f'(x), we obtain f'(x) in the form x³ (4x - 4)5 C(x) √3x² - 3 3x² – 3 f'(x) A(x) + B(x) 4x 4 + where A(x), B(x) and C(x) are functions of x. Find them.
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