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November 08, 2025, 05:27:48 am

Author Topic: Rate of change  (Read 526 times)  Share 

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catwoman101

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Rate of change
« on: November 07, 2012, 02:43:17 pm »
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the rate of change for
f(x)=2x^3 - 5x^2 + x,
at x=2 is

shivneil.lal

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Re: Rate of change
« Reply #1 on: November 07, 2012, 03:20:55 pm »
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First differentiate:
 f(x) = 2x^3 - 5x^2 + x
f'(x) = 6x^2 - 10x + 1

Then substitute x = 2 into f'(x)
f'(2) = 6(2)^2 - 10(2) + 1
f'(2) = 24 - 20 + 1
f'(2) = 5

Therefore, the rate of change at x = 2 is 5