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Piecewise functions can be differentiated easily using Calculus 1 derivative techniques. Continuity and differentiability of functions will also be looked at in these problems. A piecewise function has the unique property that the equation that describes it changes throughout its domain. The issue with this is when the graphs intersect. We will find first if it is continuous, then differentiable, and then calculate the final derivative. By the end of this video, you’ll be able to tackle piecewise functios problem on your exams and feel confident deriving them. Timestamps: 0:00 Problem 1 - Piecewise Derivatives with Polynomial Continuity 2:15 Problem 2 - Piecewise Derivatives with Polynomial Differentiability 3:42 Problem 3 - Piecewise Derivatives with a more complicated example This video builds on previous lessons, and so if you are unfamiliar with any, please check them out! First Order Derivatives - • Calculus Power Rule Example: Derivative of... Power Rule - • How To Use The Power Rule To Find Derivati... If this video helped, give it a like, comment, and subscribe for more practice problems! #calculus #calculus1 #piecewisefunction #derivatives #continuity #differentiation #education #mathematics