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Finding the slope of a tangent line to a curve (the derivative). Introduction to Calculus.
Calculus Rhapsody By Phil Kirk & Mike Gospel Is this x defined? Is f continuous? How do you find out? You can use the limit process. Approach from both sides, The left and the right and meet. Im a just a limit, defined analytically Functions continuous, Theres no holes, No sharp points, Or asymptotes. Any way this graph goes It is differentiable for me for me. All year, in Calculus Weve learned so many things About which we are going to sing We can find derivatives And integrals And the area enclosed between two curves. Y prime oooh Is the derivative of y Y equals x to the n, dy/dx Equals n times x To the n-1. Other applications Of derivatives apply If y is divided or multiplied You use the quotient And product rules And dont you forget To do the dance Also oooh (dont forget the chain rule) Before you are done, You gotta remember to multiply by the chain (Instrumental solo) I need to find the area under a curve Integrate! Integrate! You can use the integration Raise exponent by one multiply the reciprocal Plus a constant Plus a constant Add a constant Add a constant Add a constant labeled C (Labeled C-ee-ee-ee-ee) Im just a constant Nobody loves me. Hes just a constant Might as well just call it C Never forget to add the constant C Can you find the area between f and g In-te-grate f and then integrate g (then subtract) To revolve around the y-axis (integrate) outer radius squared minus inner radius squared (multiplied) multiplied by pi (multiply) Multiply the integral by <b>...</b>
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Today, calculus is one of the most important fields of mathematics. However, two men claimed to be its inventor - Isaac Newton and Gottfried Leibniz. The ensuing dispute would embroil Europe in the greatest mathematical controversy of all time.
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www.mindbites.com for a bundle of videos on the Fundamental Theorem of Calculus. For an even broader bundle of videos that cover the Fundamental Theorem of Calculus and Integration Basics, check out www.mindbites.com . To search for topic-specific help in our library of 600+ video products for Calculus, please refer to our Calculus category at: www.mindbites.com . To check out our full Calculus video course, with 250+ videos included, refer to: www.mindbites.com . Or, for access to this single video, go to: www.mindbites.com The Second part of the Fundamental Theorem of Calculus provides the link between velocity and area. It states that the sum of the area under the curve between two points (A and B) is equal to the difference of the antiderivatives of A and B. Thus, to find the area under a curve between two points, you will take the difference of the derivatives calculated at the end points, A and B. This theorem enables you to evaluate definite integrals by finding the area between the function described and the X axis. The lesson will also cover proper notation that shoud be used to denote what you're evaluating over which interval. You will also work problems that involve trigonometric functions (like finding the area under a portion of the sine curve or cosine curve) This lesson explains the second half of the Fundamental Theorem of Calculus. To see the fist half of the explanation, check out: www.mindbites.com Taught by Professor Edward Burger, this lesson was <b>...</b>
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Don LaFontaine and Broken Vacuum present "AP Calculus: Third Period" Where will you be when it's test time? View all of Broken Vacuum's movies at www.brokenvacuum.net A huge thanks to Don LaFontaine who is the coolest person to ever exist.
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More intuition of what a derivative is. Using the derivative to find the slope at any point along f(x)=x^2
Calculus-Derivative: Understanding that the derivative is just the slope of a curve at a point (or the slope of the tangent line)
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Visit : bit.ly for your 14 day free trial at Thinkwell! Videos, Quizzes, Tests and More! Fundamental Theorem of Calculus Part 1 - Derivatives of Integrals. In this video I show the FTC part 1 and show 4 examples involving derivatives of integrals. For more free math videos, visit PatrickJMT.com
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Determining the derivatives of simple polynomials.
Curve Sketching Using Calculus - Part 1of 2. In this video I discuss the following topics to help produce the graph of a function: domain, xy intercepts, symmetry of the function, intervals of increase/decrease, local maximums and minimums, concavity, inflection points, horizontal and vertical asymptotes (whew!). all of this is too much for one 10 minute video, so the rest is in part 2! austin math tutor, austin math tutoring, austin UT math tutor, austin UT calculus tutoring, justmathtutoring.com, austinmathtutor.com, austin-math-tutor.com, austin westlake math tutor, austin westlake calculus tutor, austin UT algebra tutor, ACC tutor, austin ACC math tutor, austin math tutoring
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Find two numbers whose products is -16 and the sum of whose squares is a minimum.
Dedicated to Camire's 2010 Calculus seniors. Lyrics: Wake up in the mornin' I've got math on my brain I get these problems in my head I guess it's hard to explain Grab a pencil and a paper find a comfortable spot 'Cause when I start my algorithms I ain't gonna stop I'm talkin' findin' those maxs and mins, mins Fundamental theorem, rem Plugin those values in, in A table testin' around those CV's Integration from A to B Gonna get a little bit tricky I won't stop till I drop, gonna blow this function up To night Imma fight till those intercepts are mine Tik tok round the clock but the solving don't stop, no Zero wha oh, over Zero wha oh Math geek, That's me not a problem I can't beat Don't fight I'm right, and I did it in my mind I won't lie, I've memorized 25 digits of pi 3.14159265 I ain't ever had the need to reach for my calculator There ain't a problem I can't solve with just my pencil and paper And while those dudes in algebra are learnin' bout SOHCAHTOA I'm graphing in the third dimension with my Ticonderoga I'm talkin' unit circle on my back, back My calc book on my lap, lap Got scrap paper in a stack, stack I'm goin' fast till my stomach growls, growls Or those asymptotes slow me down, down Asymptotes slow me down, down Tope tope slow me down I won't stop till I drop, gonna' blow this function up Tonight Imma fight till those intercepts are mine Tik tok round the clock but the problem don't stop, no Zero wha oh, over Zero wha oh Oh no here it goes, what to do I do <b>...</b>
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Curve Sketching Using Calculus - Part 2of 2. In this video I discuss the following topics to help produce the graph of a function: domain, xy intercepts, symmetry of the function, intervals of increase/decrease, local maximums and minimums, concavity, inflection points, horizontal and vertical asymptotes (whew!). all of this is too much for one 10 minute video, so the rest is in part 2! austin math tutor, austin math tutoring, austin UT math tutor, austin UT calculus tutoring, justmathtutoring.com, austinmathtutor.com, austin-math-tutor.com, austin westlake math tutor, austin westlake calculus tutor, austin UT algebra tutor, ACC tutor, austin ACC math tutor, austin math tutoring
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