Second Derivatives Test for Local Extrema of Multivariable Functions - Calculus 3 Exercises

Explore three examples demonstrating the application of the second derivatives test to identify local maximums, minimums, and saddle points in multivariable functions. Learn to calculate and interpret multiple partial derivatives for functions such as f(x,y)=9-2x+4y-x^2-4y^2, f(x,y)=x^3-12xy+8y^3, and f(x,y)=e^xcosy. Gain practical experience in solving calculus problems from Stewart's Calculus textbook, enhancing your understanding of multivariable calculus concepts. Follow along with step-by-step explanations and visualizations to strengthen your problem-solving skills in this essential area of advanced mathematics.

Intro
fx,y=9-2x+4y-x^2-4y^2
fx,y=x^3-12xy+8y^3
fx,y=e^xcosy