Question

se F(x)= x³, calcule o quociente da diferença F(2+h)-F(2)/h simplifique sua resposta

Answer 1

f(2+h) = (2+h)³

f(2+h) = ( 4 + 4h + h²)( 2 + h)

f(2+h) = ( 8 + 4h + 8h + 4h² + 2h² + h³ )

f(2+h) = ( 8 + 12h + 6h² + h³ )

f(2) = 2³

f(2) = 8

f(2+h) - f(2) / h =

h³ + 6h² + 12h + 8 - 8 / h =

h³ + 6h² + 12h  / h =

h² + 6h + 12

--------------- > h² + 6h + 12