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Approximate the derivative of the given function at the given point using small values of h. f(x) = 6x¹/x; a=4 f'(a)~ (Do not round until the final answer. Then round to four decimal places as needed.) www

Approximate the derivative of the given function at the given point using small values of h. f(x) = 6x¹/x; a=4 f'(a)~ (Do not round until the final answer. Then round to four decimal places as needed.) www

Calculus For The Life Sciences
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 8E: Find derivatives of the functions defined as follows. y=e-x2
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Approximate the derivative of the given function at the given point using small values of h. f(x) = 6x¹/x; a = 4 f'(a)~ (Do not round until the final answer. Then round to four decimal places as needed.)
Transcribed Image Text:Approximate the derivative of the given function at the given point using small values of h. f(x) = 6x¹/x; a = 4 f'(a)~ (Do not round until the final answer. Then round to four decimal places as needed.)
Expert Solution
Step 1

Given:

      fx=6x1/x ; a=4

   we know that 

       f'a=limh→0fa+h-fah

here 

      fx=6x1/x ; a=4

   

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