This video looks at the Product rule for more than two functions.
This video looks at the Proof of the Lagrange error bound (the bound of the error).
This 5-minute video looks at the proof that the derivative of e^x is e^x.
This 10-minute video lecture covers taking the derivative of ln x.
This 5-minute video lesson looks at the proof that d/dx (x^.5) = .5x^(-.5).
This 7-minute video lesson looks at the proof that d/dx(x^n) = n*x^(n-1).
This 18-minute video lesson uses the squeeze theorem to prove that the limit as x approaches 0 of (sin x)/x =1.
This video looks at the Proof of Fundamental Theorem of calculus.
This video looks at the Proof of special case of L'Hopital's Rule.
This 12-minute video lesson does both proofs in the same video to clarify any misconceptions that the original proof was \circular\.
This video covers Proving a limit using epsilon-delta definition.
This 10-minute video lesson considers why the quotient rule is the same thing as the product rule. As well as an introduction to the derivative of e^x, ln x, sin x, cos x, and tan x.
This video looks at the Quotient rule for derivative of tan x.
This video looks at the Quotient rule from product rule.
This video looks at the Rate of change of balloon height.
This video looks at the Rate of change of distance between approaching cars.
Solving rate-of-change problems using calculus.
This video looks at the Rectangular and trapezoidal Riemann approximations.
This video looks at Related rates of water pouring into cone.
Until now, we have been viewing integrals as anti-derivatives. Now we explore them as the area under a curve between two boundaries (we will now construct definite integrals by defining the boundaries). This is the real meat of integral calculus!