Posted by Z32 on Friday, June 12, 2009 at 2:03am.
Let f be the function defined by f(x)=2x+113e^x
If the equation of the tangent line to the graph of f at the point (0,8) is given by y=mx+b then:
m=?
and b=?

Calculus  Quidditch, Friday, June 12, 2009 at 2:39am
For the standard line equation,
y=mx+b
m is the slope of the line
b is the y intercept (where x=0)
Take the derivative of the equation. Use that to find the slope of the tangent at (0,8). Once you have the slope and one point (0,8) you can solve for the b. 
Calculus  Z32, Friday, June 12, 2009 at 3:12am
I just need help finding the derivative of f(x). The 3e^x is tripping me out.

Calculus  Damon, Friday, June 12, 2009 at 5:20am
if
y = 3e^x
then
dy/dx = 3 e^x
because
d/dx e^u = e^u du/dx