My playlist for AP statistics playlist is done and last year a group of students at Fordham Graduate School of Business used the for some business stats class, and I hope my calculus videos can also be useful in business calculus. I have to complete my AP Calc playlist and an Algebra I playlist over the next school year. Sorry
Your question is the same as Ngai asked a day or two ago. I was just curious if I said something that was confusing or is my notation/labeling of the coordinate point different that what you are used to...or something else? Just curious:)
Because I was looking for the equation of the tangent line at the point (pi/2,pi) and this is an (x,y) coordinate where x=pi/2, so I need the slope of the original function at pi/2 not pi. Thank you again for all your support and watching my videos:)
Brent Newton THANKS for allowing me to help, but don't forget to give yourself the credit YOU deserve for taking the time and initiative to study and learn...BAM!!!
Why is it necessary for (a) to be positive? (y= - 2^x) is just as exponential as (y=2^x) except the former grows downwards. The two previous functions are symmetric about the x-axis. Could you please explain?
Oh i am sorry I made a classic mistake. y= -2^x is not the same thing as y=(-2)^x. The same way -3^2 is not equal to (-3)^2 .The negative base must be excluded to avoid ending up with root of a negative (Imaginary number) if x=1/2. However, don't you think a better way to define the exponential function is to allow (a) to be any real number (positive or negative except for zero) and exclude (from the domain of the function) every fraction that has an even number in its denominator (of-course the fraction has to be in its simplest form) such as 1/2, 3/4, etc. Thanks
On second thought, my suggestion is not a very good one. it would be tedious to exclude every fraction that has an even number in its denominator as there are so many of them closely stacked in between any two successive numbers (1/2, 1/4, 3/4, 7/8, 5/4, 9/4,....) This graphically implies the function will be undefined at so many discrete yet closely packed points. In other words, the function would be discontinuous. However, in this case, we have not only one "Point Discontinuity" but an infinite number of them. I would very much appreciate your feedback on this :)
Y=2^-5x I calculated it and my final answer was 25x, is that correct? Coz I think that base 2 and ln2 should cancel out hence u multiply the power which -5x and- 5 giving you 25x
+alicevana sorry for the delayed reply but the answer to your questions is NO I don't mind and YES please link them but I ask that you please remind all those students you are helping to please take the time to like, subscribe and share theses free educational channels that help them...that's the only advertisement most of us have and depend on subscribers for channel growth...BAM!!!
+ProfRobBob thanks and you got it...I will remind them each time we come to a link in the lecture notes. I learned of your videos from another instructor and think students will get a lot from them. Thanks again!
+alicevana you are so welcome...we greatly appreciate the support of fellow teachers and hope your students find my channel helpful as an out of classroom study tool! FYI...you might find it easier to search lessons from my website at ProfRobBob.com. Enjoy the holiday break...I know I will:) Let us know how this works out and what kind of feedback you get from the students...we are always looking for ways to grow and improve.
My playlist for AP statistics playlist is done and last year a group of students at Fordham Graduate School of Business used the for some business stats class, and I hope my calculus videos can also be useful in business calculus. I have to complete my AP Calc playlist and an Algebra I playlist over the next school year. Sorry
Because I was looking for the equation of the tangent line at the point (pi/2,pi) and this is an (x,y) coordinate where x=pi/2
And it's good to see that you are spending time on a saturday to study:) We teachers love students like you!
Your question is the same as Ngai asked a day or two ago. I was just curious if I said something that was confusing or is my notation/labeling of the coordinate point different that what you are used to...or something else? Just curious:)
Because I was looking for the equation of the tangent line at the point (pi/2,pi) and this is an (x,y) coordinate where x=pi/2, so I need the slope of the original function at pi/2 not pi. Thank you again for all your support and watching my videos:)
the tangent line for the example is y=2x right?
the last example
Brent Newton Yes sir. Thank you for watching all the way to the end of my lesson!!!
ProfRobBob I have watched every single video from the first calculus video until the end.... because of you I know calculus
Brent Newton THANKS for allowing me to help, but don't forget to give yourself the credit YOU deserve for taking the time and initiative to study and learn...BAM!!!
My exam is in 12 hours and haven't studied a single thing in the exam. You're my overnight hero once again. :)
Melea Agatha BAM!!!
Ohhhh :) I can see the confusion now. You are welcome!
You are jus awesome!!!!
Thanks for watching Sedinam Atakuma
Your penmanship is excellent. We mathmaticians normally have horrible handwriting
Thanks for the compliment fellow math lover:)
Why didn't you substitute pi for x in the last question?
thank u so much, your videos are carrying me through a weed out calc class.
+Jessie Huang glad I can help:)
goattt teacher
Why is it necessary for (a) to be positive? (y= - 2^x) is just as exponential as (y=2^x) except the former grows downwards. The two previous functions are symmetric about the x-axis. Could you please explain?
Oh i am sorry I made a classic mistake. y= -2^x is not the same thing as y=(-2)^x. The same way -3^2 is not equal to (-3)^2 .The negative base must be excluded to avoid ending up with root of a negative (Imaginary number) if x=1/2. However, don't you think a better way to define the exponential function is to allow (a) to be any real number (positive or negative except for zero) and exclude (from the domain of the function) every fraction that has an even number in its denominator (of-course the fraction has to be in its simplest form) such as 1/2, 3/4, etc. Thanks
On second thought, my suggestion is not a very good one. it would be tedious to exclude every fraction that has an even number in its denominator as there are so many of them closely stacked in between any two successive numbers (1/2, 1/4, 3/4, 7/8, 5/4, 9/4,....) This graphically implies the function will be undefined at so many discrete yet closely packed points. In other words, the function would be discontinuous. However, in this case, we have not only one "Point Discontinuity" but an infinite number of them. I would very much appreciate your feedback on this :)
This is soooo helpful!!! Thank you so much!!! And also your handwriting is beautiful
Thanks for watching....when you need a break from math I also have a few cursive lessons too:)
Hi sir i don't understand your last part whereby y-pi = 2( x- pi/2) . why do you choose x= pi/2 instead of using x =pi
Y=2^-5x I calculated it and my final answer was 25x, is that correct? Coz I think that base 2 and ln2 should cancel out hence u multiply the power which -5x and- 5 giving you 25x
Will you do Business calculus and Business stats videos ? :)
I put my lecture notes up online, and was planning on putting links to math videos.....do you mind if I link your vids in my online notes?
+alicevana sorry for the delayed reply but the answer to your questions is NO I don't mind and YES please link them but I ask that you please remind all those students you are helping to please take the time to like, subscribe and share theses free educational channels that help them...that's the only advertisement most of us have and depend on subscribers for channel growth...BAM!!!
+ProfRobBob thanks and you got it...I will remind them each time we come to a link in the lecture notes. I learned of your videos from another instructor and think students will get a lot from them. Thanks again!
+alicevana you are so welcome...we greatly appreciate the support of fellow teachers and hope your students find my channel helpful as an out of classroom study tool! FYI...you might find it easier to search lessons from my website at ProfRobBob.com.
Enjoy the holiday break...I know I will:) Let us know how this works out and what kind of feedback you get from the students...we are always looking for ways to grow and improve.
Master RobBob to the rescue yet again!!
And THANKS again for watching & learning from Tarrou's Chalk Talk Prince Jesse !
you are awesome. you are the best :)
+Farhad Ab.jalil thanks for watching!
For the second example, can you simplify the 3^2x in the beginning? Or does it have to be at the end?
nice handwriting:-)
Thanks for watching and liking…don't forget to SUBSCRIBE and share my channel with your friends:D
Oh, I misunderstood that (pi/2, pi) meant the distance between pi/2 and pi.
I totally understand now. Thank you!
Sorry world, but these are awful compared to Krista King's videos.
haha Krista King does not even come close to ProfRobBob he is the king no doubt!!
+Kyle b
Have you listened to a Krista King video?
THANKS for the support Kyle!