This is for my Circuits class, I am supposed to find the current i.(adsbygoogle = window.adsbygoogle || []).push({});

If q = 5te^(-10^(3) t) Coulombs

Find i (current) the formula for i is: i = dq/dt

So what I did was try to find the derivative of q, which is dq

So I brought out the constant 5, and I am left with te^(-10^(3) t)

and I recognize this as a product of two functions so I tried the product rule.

I let my first function f = t, and my second function g = e^(-10^(3) t)

so f ' = 1 and g ' (using the chain rule) i got (e^(-10^(3) t) x '10^3)

so i plugged it into the product role (fg)' = fg' + gf' and i get a weird answer.

The given answer in the back of the book is :

i = 5(1-10^3 t)e^(-10^3 t) Amps

can someone help me please

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# How do you get the derivative of this?

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