Derivative of exponential functions

1. Sep 5, 2008

Riles246

1. The problem statement, all variables and given/known data

d/dT (e-E0/(kT))

2. Relevant equations

d/dx(ex) = ex

3. The attempt at a solution

e-E0/(kT) * E0/kT2 ???

Do you use the chain rule on the exponent of e?

2. Sep 5, 2008

Hootenanny

Staff Emeritus
Looks spot on to me . And yes, you would use the chain rule (followed by the power rule on the exponent) to differentiate the function.

3. Sep 5, 2008

alphachapmtl

if u=u(x),
d/dx (e^u) = e^u du/dx
d/dx (e^(1/x)) = e^(1/x) (-1)/(x^2)
d/dx (e^(a/x)) = e^(a/x) (-a)/(x^2)
d/dx (e^(a/bx)) = e^(a/bx) (-a/b)/(x^2)