How do you find F'(x) given F(x)=int tant dt from [0,x]?
2 Answers
Dec 19, 2016
F'(x) = tanx
Explanation:
We apply the First Fundamental theorem of calculus which states that if (where
F(x) = int_a^x f(t)\ dt.
Then:
F'(x) = f(x)
(ie the derivative of an anti-derivative of a function is the function you started with)
So if we have
F(x) = int_0^x tant \ dt
Then
F'(x) = tanx
Dec 19, 2016
Explanation:
When you are taking the derivative of an intergral, it is just the equation inside.
All you have to do now is find out where your limits are from.