(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

This problem has to do with Doppler shifts as frequency changes with time.

F(t)=fo(1-(v^2*T)/(c*sqrt(v^2*T^2+b^2))

T=t-To

I want to find F'(t) .

2. Relevant equations

See #1.

3. The attempt at a solution

I expand F(t) to be

F(t)=f0-(fo*v/c)*(1+(b/(vT))^2)^1/2

and again...

F(t)=f0-(fo*v/c)*(1+b^2*v^-2*T^-2)^1/2

After this, I forgot all of my calculus I've learned couple years ago. :(

Please help me remember what to do.

I know you do exponent on the outside and then work inside... dot dot dot.

Thanks.

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# Homework Help: Derivative of F(t)

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