Question

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

Answer 1

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

Answer 2

Answer:

Step-by-step explanation: