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Please Help! It is Pre-Calc and I need to know the answer!

Please Help! It is Pre-Calc and I need to know the answer!-example-1

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That's the derivative at x=9 so will be 4(9³)=2916. Let's do it the hard way.

f(x) = x⁴

f(9)=9⁴

f(9+h)=(9+h)⁴ = 9⁴ +4·9³ h + 6·9²h² + 36h³ + h⁴

(f(9+h)-f(9))/h = 4·9³ + 6·9²h + 4·9h² + h³


\lim_(h\to 0) (f(x+h)-f(x))/h =4\cdot 9^3 = 2916

Answer: Choice C, 2916

User WalterM
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Answer:

Explanation:

Please Help! It is Pre-Calc and I need to know the answer!-example-1
Please Help! It is Pre-Calc and I need to know the answer!-example-2
Please Help! It is Pre-Calc and I need to know the answer!-example-3
User Enomad
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