Derivative of e

**Kataangel** · October 2nd 2009, 01:06 AM

I'm trying to find the derivative of the following

$5(e^{-0.01x}-e^{-0.51x})$

Since I thought the derivative of $e^x$ is $e^x$ , I thought that the derivative of the above expression was just itself:

$5(e^{-0.01x}-e^{-0.51x})$

If this is not right, how do I find out the derivative of some exponent with e?

**roshanhero** · October 2nd 2009, 01:52 AM

Either use chain rule to find the derivative or use the formula that the derivative of $e^{ax+b}$ is $ae^{ax+b}$

The answer would be $-0.05e^{-0.01x}+2.55 e^{-0.51x}$

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