I need to find the derivative of the function below...(adsbygoogle = window.adsbygoogle || []).push({});

1. The problem statement, all variables and given/known data

[itex]G(x) = \int_{x}^{1} cos(\sqrt{t}) dt[/itex]

2. Relevant equations

FTC1

If f is continuous on [a,b], then the function g defined by

[itex]g(x) = \int_{a}^{x} f(t) dt[/itex] [itex]a \leq x \leq b[/itex]

is continuous on [a,b] and differentiable on (a,b) and [itex]g'(x) = f(x)[/itex]

3. The attempt at a solution

Would it be [itex]-cos(sqrt(t))[/itex]

Thanks for the time!

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Find derivative using FTC1

**Physics Forums | Science Articles, Homework Help, Discussion**