A simple equation to differentation, having trouble

[EeLoOd]

Homework Statement

Differentiate the following:

f(t) = [(e^(-t/4))(-t+4)] / 4

Homework Equations

None. Just an equation to differentiate.

The Attempt at a Solution

I'd type it, but it is a mess.

Thanks in advance.

 

[lineintegral1]

What are you having trouble with? This differentiation is simply a combination of the product and chain rules. Let me see if I can simplify it for you. The derivative would be:

$$\frac{1}{4} \left [\frac{d}{dt}(e^{-t/4}) \right ](4-t)+\frac{1}{4}e^{-t/4}\left [ \frac{d}{dt}(4-t) \right ]$$

See if you can compute this, now that you know what must be differentiated at a given time.