if F(x) = the integral from x^.5 to 6 of cos(q^2) with respect to q, then what is F'?

Im really struggling with these more complex applications of the second fundamental theorem if F(x) = the integral from x^.5 to 6 of cos(q^2) with respect to q, then what is F'?

Im really struggling with these more complex applications of the second fundamental theorem @Mathematics

Question

if F(x) = the integral from x^.5 to 6 of cos(q^2) with respect to q, then what is F'?

Im really struggling with these more complex applications of the second fundamental theorem if F(x) = the integral from x^.5 to 6 of cos(q^2) with respect to q, then what is F'?

Im really struggling with these more complex applications of the second fundamental theorem @Mathematics

anonymous · Answer

if this makes more sense http://www.wolframalpha.com/input/?i=derivative+with+respect+to+x+of+the+integral+from+x%5E.5+to+6+of+cos%28q%5E2%29+with+respect+to+q

anonymous · Answer

$$d/dx \int\limits_{√x}^{6} \cos(q^{2}) dq$$