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you have to plug in (x+h) for x but im stuck

You Have To Plug In Xh For X But Im Stuck class=

Sagot :

Trancescient

Step-by-step explanation:

Given: [tex]f(x) = 2x^2 - 4x + 5[/tex]

[tex]f(x + h) = 2(x+h)^2 - 4(x + h) + 5[/tex]

[tex]\:\:\:\:\:\:\:\:=2(x^2 + 2hx + h^2) - 4(x + h) + 5[/tex]

[tex]\:\:\:\:\:\:\:\:= 2x^2 + 4hx + 2h^2 - 4x - 4h + 5[/tex]

[tex]\dfrac{f(x + h) - f(x)}{h} = \dfrac{(2x^2 + 4hx + 2h^2 - 4x - 4h + 5) - (2x^2 - 4x + 5)}{h}[/tex]

[tex]= \dfrac{4hx + 2h^2 - 4h}{h} = 4x - 4 + 2h[/tex]

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