exponential and log functions (1 Viewer)

[jnney]

1. Find the stationary point on the curve y=xe^x and determine its nature.

2. Differentiate e^x(2x+1)

 

[SpiralFlex]

1. Find the stationary point on the curve y=xe^x and determine its nature.

2. Differentiate e^x(2x+1)

1.





For stationary points,





The first equation cannot hold true since is only defined for



When

Determining nature,





At



is a minimum turning point.


2.

 

[Alkanes]

Ok i am going to try and beat spiral flex to this.

y =
Using product rule to differentiate
y' =
= e^x(1+x)

At S.P y' = 0
Therefore x = -1

Using the table of values to determine the nature. The curve should be a minimum turning point at (-1,-1/e)

2. Expand it out


2e^x + 2xe^x + e^x
e^x(2+2x+1)
= e^x(2x+3)

Should be correct i think o.o

 

[Alkanes]

Omg spi hate you!!!!!

 

[SpiralFlex]

Omg spi hate you!!!!!

Not my fault I am Latex fluent.

 

[Alkanes]

zzzzz

 

[SpiralFlex]

zzzzz

Do you want me to find the modulus of that?

 

[Alkanes]

HAHAAH good one. Argument too.

 

[SpiralFlex]

HAHAAH good one. Argument too.

I always have good arguments. I apologise, I should have left this question for you.

 

[Alkanes]

I inCIS to do the next question..

 

[SpiralFlex]

I inCIS to do the next question..

You just took it too far...