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Mathematics 8 Online
Ballery1:

Math help plz

Ballery1:

I need to simplify this equation to find the inflection point...

Ballery1:

|dw:1570424360568:dw|

Ballery1:

|dw:1570424722298:dw|

Nnesha:

nah...

Ballery1:

Aww...

Nnesha:

first gid rid of 4

Nnesha:

whatever i just said..

Ballery1:

|dw:1570424814836:dw|

Ballery1:

Am i wrong or am i wrong?

Nnesha:

|dw:1570424921042:dw| don't know what that is but yeah x=1/2

Nnesha:

nvm

Ballery1:

I thought anything divided by 0 is 0...

Nnesha:

yes then why did you write 1?

Ballery1:

Ummmmm...did i do that?

Nnesha:

you should apply ln on both sides

Ballery1:

Hold on let me do it again

Ballery1:

|dw:1570425030467:dw|

Nnesha:

nah...

Ballery1:

Wait...

Ballery1:

Ln(0) is undefined

Ballery1:

Idk then

Nnesha:

check your question

Nnesha:

did you write it correctly

Ballery1:

This is just a tiny part of the much longer question

Ballery1:

The whole question is to find the interval where the function \[F(x) = e^{2x-1}\] concaves up and the interval where the function concaves down... and find the point of inflection...

Ballery1:

Let me show you what i’ve done so far..

Ballery1:

|dw:1570425539818:dw|

mhchen:

Here's what I think, \(e^x\) is always concave up and increasing. It's never concave down, so there shouldn't be any inflection points.

Ballery1:

Ok but how do I mathematically prove that??? I need to solve for the x but it seems it’s not possible...

mhchen:

No solutions for x so there's no inflection points

Ballery1:

Ok i see. So since there’s no solution ...what i did was...i made a data sheet and i plugged in all values from -3 to +3 into the second and i always gotta a positive y value...

Ballery1:

So does that mean the graph only increases ...and never decreases ?

mhchen:

yes

Ballery1:

So by that logic... there’s only an interval of increase and no decreasing interval

Ballery1:

So since there’s only an increasing interval.... it should go from negative infinite to positive for all values of x correct ?

Ballery1:

Because again i’m Only getting positive values for x in the second derivative...that means the original graph is only growing.. positively

mhchen:

ye

Ballery1:

Okie thanks :)

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