Hi, if anybody can help me with this question, it would be greatly appreciated :)

Use mathematical induction to prove that f^{n}(x) = (2^{n}x+ n2^{n-1}) e^{2x}where f^{n}(x) represents the nth derivative of f(x)

f(x) = xe^{2x}

Printable View

- April 12th 2013, 11:46 AMHideeMath Induction derivative help
Hi, if anybody can help me with this question, it would be greatly appreciated :)

Use mathematical induction to prove that f^{n}(x) = (2^{n}x+ n2^{n-1}) e^{2x}where f^{n}(x) represents the nth derivative of f(x)

f(x) = xe^{2x} - April 12th 2013, 11:59 AMHallsofIvyRe: Math Induction derivative help
Well, obviously when n= 1, .

Now, assume it is true for n= k:

What is the derivative of that?