(Solved): please solve all parts, it is just a written homework assignment, not an exam or quiz or anything. T ...

Question $$2(\&$$ points) Given $$g(x)=\ln \left(4x^2+1\right)$$ and its derivative, $$g^{?}(x)=\frac{8x}{4x^2+1}$$, complete the following questions: (a) ( 8 points) On which intervals is $$g(x)$$ increasing/decreasing? Write, and label in point form, any local maximums/minimums. Justify with a sign chart. (b) (2 points) Verify that the second derivative is $$g^{??}(x)=\frac{8?32x^2}{{\left(4x^2+1\right)}^2}$$ (c) (14 points) Find the intervals on which $$g(x)$$ is concave up/down. Verify with a sign chart. Write any inflection point in point form.