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March 1st, 2017, 01:43 PM   #1
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Derivative of Trig and Euler's number

I have a problem I am having touble solving (refer to image question 1 b).

I cannot find any tutorial explaining how to solve Trig and e^x derivatives together.

I'm a little rusty with my math, so if anyone could please provide a step by step solution that would be great.

I understand the derivative of e^x = e^x & cosx is -sinx.

But I'm not sure how to get the solution:

-(e^-4t)(80 cos 50t + 1000 sin 50t) μC

Thanks.
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Last edited by skipjack; March 1st, 2017 at 03:10 PM.
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March 1st, 2017, 02:15 PM   #2
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The product rule for differentiation says
$$\frac{\mathrm d}{\mathrm dx}(uv) = v\frac{\mathrm du}{\mathrm dx} + u\frac{\mathrm dv}{\mathrm dx}$$
for functions $u(x)$ and $v(x)$.
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March 1st, 2017, 02:39 PM   #3
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Thank you

Ahh yes, that's right. I will try and solve now. Thanks.

Last edited by skipjack; March 1st, 2017 at 03:10 PM.
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March 1st, 2017, 03:42 PM   #4
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problem with answer

Ok I am missing something here, I am getting an inverse answer:

hope you can make sense of my answer haha.
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March 1st, 2017, 04:07 PM   #5
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I don't know what you man by "inverse answer". What you give, , is the correct answer.
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March 1st, 2017, 05:01 PM   #6
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sorry I didn't not see the '-' symbol in front of the answer I posted in my first post.

Thanks for your help
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