slope of a tangent line

[Belby]

Find the slope of the tangent line to the graph of the function
f(x)=x e^x
at x=2. Correct to two decimal places.

 

[arthur ohlsten]

f[x]=x e^x take derivative
f'[x]=x e^x+e^x
f ' [x]= [x+1] e^x

at x=2 the slope of the tangent
m=[2+1]e^2
m=3e^2
m=22.1671683

Arthur

 

[Deleted member 4993]

f[x]=x e^x take derivative
f'[x]=x e^x+e^x
f ' [x]= [x+1] e^x

at x=2 the slope of the tangent
m=[2+1]e^2
m=3e^2
m=22.1671683 <<<< That is incorrect

Arthur

 

[Belby]

Thank you. It was correct. I was working wrong.

 

[arthur ohlsten]

subhotosh kahn-

Why is 22.1671683 wrong? Did I make a error?
Arthur

 

[Deleted member 4993]

Find the slope of the tangent line to the graph of the function
f(x)=x e^x
at x=2. Correct to two decimal places.

 

[BigGlenntheHeavy]

Here is the graph of f(x) and the line that is tangent to it at f(2).

[attachment=0:14lghdzo]wwww.jpg[/attachment:14lghdzo]