9514 1404 393
Answer:
-6x² -6xh -2h²
Step-by-step explanation:
Apparently, you want ...
(f(x+h) -f(x))/h
for f(x) = 14 -2x³
That difference quotient is ...
[tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(14 -2(x+h)^3)-(14-2x^3)}{h}\\\\ =\dfrac{14-2(x^2 +3x^2h+3xh^2+h^3)-14+2x^3}{h}=\dfrac{-6x^2h-6xh^2-2h^3}{h}\\\\ =\boxed{-6x^2 -6xh-2h^2}[/tex]
