We have an inequality f(phi(z)+γ_1(z))−f(phi(z)+γ_2(z))<c, where phi is decreasing in z and lambda_i is increasing in z for i=1,2. All values are positive. Specifically, suppose this inequality holds for some z_0. When will it also hold for any z<z_0?

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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