Derivative of a Function
In this derivative of a function learning exercise, students identify the relative minimum for a graph. This two-page learning exercise contains three multi-step problems.
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Proofs of Derivatives of Ln(x) and e6x
In this video, Sal takes on the challenge of proving both the derivative of ln x = 1/x and of ex = ex, showing that no circular logic is used in the proof. It contains a clearer version of both proofs shown in the videos titled, _Proof...
4 mins 11th - Higher Ed Math
Calculus: Derivatives 1 (new HD version)
Sal defines the term derivative by taking the listener on a well-organized tour of slope. First, he reviews the concept of slope of a line from algebra, then extends this idea to look at the slope of the curve by first examining a secant...
16 mins 11th - Higher Ed Math
Calculus: Derivatives 2 (new HD version)
Sal continues where he left off with the last video, ï¿½Derivatives 1,ï¿½ by looking at the equation y = x2 and examining the slope of the secant line at a specific point. He continues with defining the limit as _x approaches zero to get...
8 mins 11th - Higher Ed Math
Investigation the Derivatives of Some Common Functions
High schoolers investigate the derivative of a function. In this calculus lesson, students explore the derivatives of sine, cosine, natural log, and natural exponential functions. The lesson promotes the idea of the derivative as a...
9th - 12th Math CCSS: Designed