What IS a Derivative?
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YouTubeMax Mercer
What IS a Derivative?
Hey! I'm trying to make a short visual explanation of the derivative for calculus students, I hope it helps! The formal definition of the derivative at a point x=a is the instantaneous rate of change of the function at x=a, or the slope of the line which is tangent to the ordered pair (a,f(a)) on the curve. For example, when f(x)=x^2 and x=1 ...
1.3K viewsApr 30, 2024
Shorts
Differentiable, continuous, or BOTH?!! 🤷🏻‍♀️🤯 #apcalculus #apcalc #unit2 If a function is differentiable at a point, it must also be continuous there, but even if a function is continuous at a point, it's not necessarily differentiable there. If a function is discontinuous at a point, it's definitely not differentiable at that point. Unit 2 of AP Calculus is all about Differentiation, including the Definition and Basic Derivative Rules: 2.1 Defining Average and Instantaneous Rates of Change a
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