To find f'(3) (f prime of 3), you must find f' first. f' is the derivative of the function f(x).
Finding the derivative of f(x) = 2x⁴ requires the use of the power rule.
The power rule for derivatives is ![\frac{d}{dx} [x^{n} ] =nx^{n-1}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bx%5E%7Bn%7D%20%5D%20%3Dnx%5E%7Bn-1%7D)
. In other words, you bring the exponent forward and multiply it by the coefficient of the term, and then you subtract 1 from the original exponent.
f'(x) = 
(2x⁴)
f'(x) = 2(4)x³
f'(x) = 8x³
Now, to find f'(3), plug 3 into your derivative.
f'(3) = 8(3)³
f'(3) = 216
<h3>Answer:</h3>
f'(3) = 216
I can’t see it sorry maybe it’s my device
The values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
<h3>How to compare and contrast the rates?</h3>
The rates are given as:
Rate 1 = 4/5 mile in 8 minutes
Rate 2 = 2/5 mile in 4 minutes
Calculate the above rates
This is done as follows:
Rate 1 = 1/10 mile per minute
Rate 2 =1/10 mile per minute
When the rates are calculated, the values are 1/10 mile per minute
Hence, the values of the rates 4/5 mile in 8 minutes and 4 minutes to travel 2/5 mile are equal
Read more about rate at:
brainly.com/question/2021001
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Answer: a^-4
Step-by-step explanation:
= a^-4
