iiiMann
iiiMann iiiMann
  • 01-04-2020
  • Mathematics
contestada

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

Please Help It is PreCalc and I need to know the answer class=

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susanmimi055 susanmimi055
  • 01-04-2020

Answer:

Step-by-step explanation:

Ver imagen susanmimi055
Ver imagen susanmimi055
Ver imagen susanmimi055
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DeanR
DeanR DeanR
  • 01-04-2020

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

[tex]\lim_{h\to 0} (f(x+h)-f(x))/h =4\cdot 9^3 = 2916[/tex]

Answer: Choice C, 2916

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