Calculus Problem - Explained with BASIC MATH!

How to find the slope of a tangent line using the first derivative in Calculus. Learn more math at TCMathAcademy.com/.
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[@lukewalker1051]

70 y.o. retired mechancal engineer who took a lot of calculus 50 years ago. Still remember some of it and this was easy. I always try to perform your problems by your thumbnail in my head with high success rate but once in a while I need some paper or do it on a word doc.

[@richardhole8429]

In college, 1968,Calc 1, differential calculus was the most fun course I ever took. It came back right away.

[@maureenjacobs3697]

While I am not in school or taking a maths course, I am pleased to see these pop in and it of my suggestions. Practicing keeps me sharp!

[@chrisdissanayake6979]

d) 1/2

[@redblack8414]

I have been following you, John for some time now. Your explanations are the best math explanations that I have seen on YT. 👍

[@erembald2927]

slope = dy/dx = 2x. When x = 2, 2x = 4, slope is 4

[@stephena1196]

You did do a pretty good job.

[@mathswithoutwords]

really good video

[@waynestanley01]

What a coincidence

[@russelllomando8460]

great explanation. Y=MX+B was causing me difficulties. thanks for the fum.

[@robertstuart6645]

Might be good sometime in another session to bring in the limit concept to illustrate why the slope of y=x^2 at f(2) is 4.

[@panlomito]

f(x) = x² so the first derivative f'(x) = 2x Now x = 2 so f'(2) = 2.(2) = 4 so answer A 🤪

[@tomtke7351]

2x is derivative of x^2

[@mr.mxyzptlks8391]

The answer is 4, based on calculus. Nice vid, but, I don’t feel I like the ‘barely, barely’ touching phrase is precise enough. It is touching, in exactly 1 (0 dimensional) point - see definition of a tangent. Precision in spoken language is important in math. My math teacher confused me once in 7th grade by saying ‘a prime number is not divisible by any other number’. He left out the ‘by 1, or itself’ and that the result is to be another integer! He had implicit assumptions that were, I have to assume, inadvertently projected onto the students. Anyways, while these vids are long, I appreciate the detail and logic paths.

[@warblerab2955]

So how would you find the slope if the equation was something like y=x^2 + 4 ?

[@AD-mw5mv]

what whiteboard software is being used?

[@lasentinal]

there might be a problem with the diagram. The point of intersection does not look like it is where x=2 It looks like it is a little less than where x=2.

[@kenesufernandez1281]

💖

[@MrSummitville]

The slope is ... UP ! 😂

[@chrissullivan40]

Which is the slope is obvious. What is the slope is the problem.