More Difference Quotient Examples

[@tutorwithchrisflores6360]

Thank you, Mario! I love the way you break things down. Explaining the logic of what and why helps so much, regardless of which topic you're describing. I really appreciate your work!

[@MariosMathTutoring]

Great to hear!

[@STR8TINSANE]

god bless you man you said one thing that unlocked this entire formula for me "Just substitute the f(x) into the right side treat it as a function problem" I had never looked at it that way

[@MariosMathTutoring]

Kaldroga glad I could make sense of this for you!

[@dorkybobsterthedm2126]

This really helped me with preparing for my AP Calculus AB class! Thank you!

[@MariosMathTutoring]

+DorkyBobster The DM your welcome! Glad it helped you.

[@PamKitsuwan]

Thx for the more adv problems!!! Cuz I've been searching and other KZbinrs be doing problems like difference quotient of idk maybe 2x^2+5? That's just too easy I need more adv problems like urs. Thanks again!

[@MariosMathTutoring]

+Pam Kitsuwan your welcome. Glad my video helped you!

[@user-fl9mw2ec6t]

Thank you so much 👍🌹

[@MariosMathTutoring]

You're welcome 😊

[@mikabuisel2824]

Thank you so much.. this one helps me from my test

[@rhacheld]

Very helpful! Is it a rule of simplifying a difference quotient to replace h with 0?

[@MariosMathTutoring]

+R. S. D' good question...when you take the limit of the difference quotient as h approaches zero then you have the derivative which is a formula for finding the slope of the tangent line at any point along the original graph.

[@robertosoto5181]

Thanks Mario I'm cramming down for a test and you've definitely helped!

[@MariosMathTutoring]

+Ronimal lifts great! Good luck on your test!

[@user-nm7ox7jp6r]

Thank you!!!

[@ScraperCross]

Thank you so much! really made things clear to me.

[@MariosMathTutoring]

Glad my video helped you!

[@Thomas_Needs_Coffee]

very helpful thank you!

[@MariosMathTutoring]

+Thomas Stees your welcome!

[@pockydust3404]

Thank you so much!

[@MariosMathTutoring]

+e r your welcome!

[@Bryan-jw1ds]

Thank you!

[@MariosMathTutoring]

+Bryan Boydstun Your welcome!

[@richardbarros8187]

Why aren't we left with the LCD (x+h-5)(x-5) in the denominator in the above fraction (numerator) I understand multiplying by LCD will allow us to subtract the fractions but why does it remove the fraction all together?

[@MariosMathTutoring]

+Richard Barros what we are doing is simplifying the complex fraction(meaning fractions within an overall fraction) by multiplying the numerator and denominator by (x+h-5)(x-5)...which is like multiplying by 1 since you are doing the same thing to the numerator and denominator. Essentially we are just rewriting and simplifying the fraction...hope that helps you...if not and you would like to see more examples you can see the video I did on the same topic here.....kzbin.info/www/bejne/rmnNXmeNjrGAbLs

[@richardbarros8187]

Thank you.. I reviewed some other videos and it makes sense.

[@MariosMathTutoring]

+Richard Barros glad you are understanding it.

[@abubakarlawwal3611]

thanks mario

[@MariosMathTutoring]

+Abubakar Lawwal your welcome

[@arisymphony]

I’m very confused as to why anytime there’s an h in the difference quotient you just trash it.

[@theslitherysnake5898]

This is the most pointless thing in calculus

[@jessicakell1454]

Thank you!

[@MariosMathTutoring]

You’re welcome Jessica!