determine d^2 / dx^2 (e^3x)?

4 ⤊

determine d^2 / dx^2 (e^3x)?

2007-11-23 07:15:13 · 3 answers · asked by nafiseh g 1 in Science & Mathematics ➔ Mathematics

3 answers

let y = e^(3x)
dy/dx = 3 e^(3x)
d²y/dx² = 9 e^(3x)

2007-11-23 09:31:26 · answer #1 · answered by Como 7 · 1⤊ 1⤋

You know that the derivative of e^(ax), where "a" is a constant, is just a*e^(ax). So taking the derivative of that again gives (a^2)(e^(ax)). You should now know how to do that with e^(3x).

2007-11-23 15:19:19 · answer #2 · answered by Anonymous · 2⤊ 1⤋

d^2/dx^2 (e^3x) = d/dx{d/dx(e^3x)} = d/dx(3e^3x) = 9e^3x

2007-11-23 15:27:57 · answer #3 · answered by sv 7 · 1⤊ 1⤋