Find the derivative \frac{d}{dx}[\arctan (x^2+1)] a) (\arcsec (x^2+1))^2 b) \frac{1}{2+x^2} c) \frac{1}{1+(x^2+1)^2}

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

$\frac{1}{\sec <!--\; \; -->(x)}$ in derivative?

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How to evaluate: indefinite integral ${\displaystyle \frac{1+x}{1+x^2}dx}$?