How do you use the fundamental theorem of calculus to find F'(x) given #F(x)=int 1/t^2dt# from [1,x]?
The first part of the Fundamental Theorem of Calculus tells us that if
This makes sense --
The most important thing to note is that the variable of the derivative and variable of the integrand are different. The integrand is written in terms of
Here, we have
And we see