Visualizing Multivariable Functions with Contour Plots











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We've seen the graphs of single variable functions like y=x^2 throughout calculus, but now that we are in multivariable calculus and our graphs are of functions like f(x,y)=x^2+y^2 - that is, more than one input - what do they look like? We can use contour plots (sometimes called level curves) to get a nice picture in the two dimensional domain that will help us sketch the three dimensional graph of the function. • **************************************************** • YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! • **************************************************** • ►Full Multivariable Calculus Playlist:    • Calculus III: Multivariable Calculus ...   • **************************************************** • Other Course Playlists: • ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   • ► CALCULUS II:    • Calculus II (Integration Methods, Ser...   • ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   • ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   • *************************************************** • ► Want to learn math effectively? Check out my Learning Math Series: •    • 5 Tips To Make Math Practice Problems...   • • ►Want some cool math? Check out my Cool Math Series: •    • Cool Math Series   • ***************************************************** • • ►Follow me on Twitter:   / treforbazett   • ***************************************************** • This video was created by Dr. Trefor Bazett • BECOME A MEMBER: • ►Join:    / @drtrefor   • MATH BOOKS MERCH I LOVE: • ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett

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