Hi, how do you solve this (btw, sorry, I don't know how to make snazzy math grafics :/): Find G'(x) for G(x) = the integral exp(t^2)dt in the interval 1/x< a< x.
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Originally Posted by Hampus Hi, how do you solve this (btw, sorry, I don't know how to make snazzy math grafics :/): Find G'(x) for G(x) = the integral exp(t^2)dt in the interval 1/x< a< x.
Could you maybe explain why this is the case? (please?)
Originally Posted by Hampus Could you maybe explain why this is the case? (please?) Say that . (It doesn't matter what is.) So by the Fundamental Theorem of Calculus. To take the derivative of this expression, use the chain rule to get But because of how we defined , we know that . So the above is .
Feels like something I could have figured out if I gave it a thought :/ Thanks a lot though, very helpful, it all makes sense
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