Critical points are one of the best things we can do with derivatives, because critical points are the foundation of the optimization process.
Read MoreLinear approximation, or linearization, is a method we can use to approximate the value of a function at a particular point.
Read MoreWe already know that the slope of a function at a particular point is given by the derivative of that function, evaluated at that point.
Read MoreMost often in calculus, you deal with explicitly defined functions, which are functions that are solved for y in terms of x.
Read MoreL'Hospital's rule is so named because i was discovered (maybe) by the mathematician L'Hospital in the 1600's.
Read MoreWhen we talk about differentiability, it’s important to know that a function can be differentiable in general, differentiable over a particular interval, or differentiable at a specific point.
Read MoreWhere Green's theorem is a two-dimensional theorem that relates a line integral to the region it surrounds, Stokes theorem is a three-dimensional version relating a line integral to the surface it surrounds.
Read MoreTangent lines are absolutely critical to calculus; you can’t get through Calc 1 without them!
Read MoreIn this video we’re talking about everything you need to know about matrix multiplication.
Read MoreDifferential equations are usually classified into two general categories: partial differential equations, which are also called partial derivatives, and ordinary differential equations.
Read MoreThe only numbers you can plug into a logarithm are positive numbers not equal to 1.
Read MoreImaginary numbers are any numbers that include the imaginary number i.
Read MoreYou’ve heard about similar triangles, but do you know what technically makes two triangles similar?
Read MoreEver wondered what a partial sum is? The simple answer is that a partial sum is actually just the sum of part of a sequence.
Read MoreOur math teachers always tell us to "rationalize the denominator", but most of the time they don't tell us why.
Read MoreWe know that Riemann sums estimate area, and we know that integrals find exact area.
Read MoreIn this video we talk about why the integration by parts formula actually works.
Read MoreIn this video we talk about when trapezoidal rule overestimates the area under the curve, when it underestimates the area under the curve, and when it finds exact area.
Read MoreIn this video we talk about how to find discontinuities in a function.
Read MoreIn this video we talk about the different kinds of discontinuities and show which discontinuities are removable and which are nonremovable.
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