lilahgirl1228
lilahgirl1228
14-02-2021
Mathematics
contestada
find (x+h) for f(x)=3x^2
Respuesta :
izzy917
izzy917
15-02-2021
f(x) = 3x2+5x-2, find [f(x+h)-f(x)]/h
f(x+h) = 3(x+h)2 + 5(x+h) - 2
= 3(x2 + 2xh + h2)+ 5x + 5h -2
= 3x2 + 6xh + 3h2 + 5x + 5h - 2
f(x+h)-f(x) = 3x2 + 6xh + 3h2 + 5x + 5h - 2 - (3x2+5x-2)
= 6xh + 3h2 + 5h
[f(x+h)-f(x)]/h = (6xh + 3h2 + 5h)/h
= h(6x + 3h + 5)/h
= 6x + 3h + 5
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