Wednesday, February 3, 2021
Monday, February 1, 2021
Elliptical Orbit in a Polar Form (10.6 p745 #59)
If you want to skip ahead:
Minute 5:45 Finding the distance between the surface of Earth and Explorer 18 when the angle is 60 degrees
Minute 12:53 Proof that e = c/a = 2c/2a=(distance between focii/major axis)
Sunday, January 31, 2021
A Bounded Area (def Int) with log base 4 (5.5 p359 #81)
A Bounded Area (def Int) with log base 4 (5.5 p359 #81)
This one has u substitution a a conversion from base 4 to bas e, confirming with the TI84
An Indefinite Integral with Exponents (5.5 p 359 #76)
An Indefinite Integral with Exponents (5.5 p 359 #76)
This includes usubstitution, and an exponential function in base 2
Proving an old Compounded Interest Formula with L'Hôpital's Rule (5.6 p371 #90)
We demonstrate the ln technique as well as makeing a product into a ratio so you can use L'Hôpital's Rule.
Implicit Diff with arctan (5.7 p 380 #71)
Implicit Diff with arctan (5.7 p 380 #71)
Here we find a tangent line of a function using implicit differentiation, the product rule, the chain rule, and some careful algebra.
The Derivative of an Inverse Function (5.3 p340 #67)
The Derivative of an Inverse Function (5.3 p340 #67)
The derivative of a inverse function is the reciprocal of the derivative of the inverse function. Be mindful of the exchange of values (x,y) to (y,x) with inverse functions
Sunday, January 24, 2021
Inverse Functions (5.3 p 340 #53)
Inverse Functions (5.3 p 340 #53)
We have more than just the horizontal line test now, if a function is strictly monotonic, it will have an inverse.
Saturday, January 23, 2021
Wednesday, January 20, 2021
Slope Fields and Differential Equations with Natural Logs (52 p330 #49)
Slope Fields and Differential Equations with Natural Logs (52 p330 #49)
A slope field and a diffyQ checked with the TI84
Tuesday, January 19, 2021
Long Division Before Integrating (52 p330 #17)
Long Division Before Integrating (52 p330 #17)
This one looks like a difficult usub, but turns out to be easy after long division!
Using L'Hôpital's Rule on an e^x Function
Using L'Hôpital's Rule on an e^x Function

Here I explain how to use your school email address and your teachers 6 digit teacher (or access) code) to get started with DeltaMath.com

Use limits to test Continuity! We check if the function exits, the limit from left and right exist, and they are all match!