1.

The value of Deltalogf(x)+Delta^(2)(3^(x)) is

Answer»

`LOG[1+(Deltaf(x))/(F(x))]+4.3^(x)`
`log[1+(Deltaf(x))/(f(x))]+3^(x)`
`log[(Deltaf(x))/(1+f(x))]+4.3^(x)`
`log[(Deltaf(x))/(1+f(x))]+3^(x)`

Solution :`DELTA log f(x)+Delta^(2)(3^(x))`
`log f(x+h)-log f(x)+(E-)^(2)3^(x)`
`=log [ (f(x+h))/(f(x))]+(E^(2)-2E+1)3^(x)`
`=log [ (E(x+h))/(f(x))]+E^(2)(3^(x))-2E(3^(x))+3^(x)`
`=log [ (E(x+h))/(f(x))]+E^(2)(3^(x))-2E(3^(x))+3^(x)`
`=log[1+(Delta f(x))/(f(x))]+3^(x)(9-6+1)`
`=log[1+(Delta f(x))/(f(x))]+4*e^(x)`


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