Calculus Problem - Explained with BASIC MATH!

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How to find the slope of a tangent line using the first derivative in Calculus. Learn more math at TCMathAcademy.....
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30 сен 2024

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Комментарии : 32

@lukewalker1051 3 месяца назад

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. Thanks for what you do. My college professors aside from my parents were perhaps the most influential people in my life and so fortunate as no doubt many are gone now.

@richardhole8429 3 месяца назад

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

@madman27985 3 месяца назад

Which books /authors are good for calculus as per your experience?

@erembald2927 3 месяца назад

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

@Kleermaker1000 Месяц назад

Differentiation. So y' = 2X and X = 2, so the answer is: the slope (or m) = 4.

@chrisdissanayake6979 3 месяца назад

d) 1/2 Rise/Run Y= X^2 Y = 2^2 = 4 Y/X = 4/2 = 2. ? ------- I tried, I was wrong. Oh! I had forgotten my basic Calculus! Mr John did a wonderful job teaching me that the slope of the curve is the first derivative of the curve. The formula of the curve is Y = X^2 The first derivative is Y’ = 2X Therefore, as X = 2, the slope = 2X = 2.2 =4

@mr.mxyzptlks8391 3 месяца назад

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.

@panlomito 3 месяца назад

f(x) = x² so the first derivative f'(x) = 2x Now x = 2 so f'(2) = 2.(2) = 4 so answer A 🤪 But we are not done yet because there is this line. So I feel the need to find the equation of this line too. Formal equation of a line is s(x) = ax + b and since we found the slope a = f'(2) = 4 so s(x) = 4x +b Now to find b we have to look for the intersection of the slope line with the y-axis or x = 0 We know one point of the line: f(2) = (2)² = 4 so (2 , 4) and we know the slope a = 4 2 steps to x = 0 will give y = 4 - 2.4 = -4 So the intersection with the y-axis is on (0,-4) and b = -4 And now we have the full equation of the slope line s(x) = 4x - 4 Checking s(2) = 4.(2) - 4 = 8 - 4 = 4 is f(2) = 4

@maureenjacobs3697 3 месяца назад

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!

@stephena1196 3 месяца назад

You did do a pretty good job.

@chrissullivan40 3 месяца назад

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

@erniemorris9991 3 месяца назад

😂😂😅

@lukewalker1051 3 месяца назад

slope = dy/dx =2x

@Darisiabgal7573 3 месяца назад

More like what is the 2, the horizontal or vertical displacement. Maybe at some point this math dude will use standard cartographical conventions like the rest of the world. There’s a reason we enumerate the x-axis under that axis tick marks. This goes hand in hand with the problem yesterday when he failed to define his rotation.

@redblack8414 3 месяца назад

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

@MrSummitville 3 месяца назад

The slope is ... UP ! 😂

@waynestanley01 3 месяца назад

What a coincidence Just last week a coworker was explaining something to me about slopes. I already knew rise over run. When he mentioned derivatives I had to tell him i never studied calculus. Now i understand what he was talking about.

@tomtke7351 3 месяца назад

2x is derivative of x^2 At x = 2 2×2=4. Slope = 4

@SarahThor-ht4qy 3 месяца назад

Dear TabletMath Class; God would like you to know that the slop is 4! Given the formula for a slop is y=x to the second power, and on the x axis is a two, and God would like you to know that I would solve for y by substituting a two, raised to the power of two, which is equaled to four! In the name of Jesus Christ, Amen! Sincerely, God and Sarah Thor-ht4qy

@muhammaddikko8006 Месяц назад

Your video is so informative. You help me understand the confusing part of machine learning as a beginner😊

@AD-mw5mv 3 месяца назад

what whiteboard software is being used?

@warblerab2955 3 месяца назад

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

@MrSummitville 3 месяца назад

I think, the " +4 " is irrelevant.

@memovilmx6239 3 месяца назад

@@MrSummitvillederivative of a constant=0. Because there's no change so no slope. Y is always the same. The slope is the ratio of change between Y and X. An slope of 1 (45°) means that between two points. The difference between the Ys is exactly the same that between the Xs

@lasentinal 3 месяца назад

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.