Average and Instantaneous Rate of Change of a function over an interval & a point - Calculus
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- เผยแพร่เมื่อ 5 พ.ย. 2024
- This calculus video tutorial shows you how to calculate the average and instantaneous rates of change of a function. This video contains plenty of examples and practice problems.
Derivative Applications - Formula Sheet: bit.ly/4eV6r1b
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Derivatives - Fast Review:
• Calculus 1 - Derivatives
Equation of the Tangent Line:
• How To Find The Equati...
Derivatives - Horizontal Tangent Line:
• How to Find The Point ...
The Equation of The Normal Line:
• How To Find The Equati...
The Equation of The Secant Line:
• How To Find The Equati...
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Average and Instantaneous Velocity:
• Average Velocity and I...
Instantaneous Rate of Change:
• Instantaneous Rate of ...
Derivatives of Rational Functions:
• Derivatives of Rationa...
Derivatives of Radical Functions:
• Derivatives of Radical...
Derivatives of Fractions:
• How To Find The Deriva...
________________________________
Derivatives - Higher Order:
• Higher Order Derivatives
Simplifying Derivatives:
• Simplifying Derivatives
Derivatives - The Product Rule:
• Product Rule For Deriv...
Derivatives - The Quotient Rule:
• Quotient Rule For Deri...
Derivatives - The Chain Rule:
• Chain Rule For Finding...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Derivative Applications - Formula Sheet: bit.ly/4eV6r1b
Final Exams and Video Playlists: www.video-tutor.net/
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MY TEACHER TOOK 4 DAYS. 4 DAYS!!! TO EXPLAIN INSTANTANEOUS RATE OF CHANGE, AND THIS GUY DID IT IN 48 MINUTES
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why did you use 2 to find the instantaneous rate?
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Does this cover some material from 2.7 in the James Stewart Calculus book?
I don't know how you got two for the first problem. You said that the instantaneous velocity is found by looking for the tangent slope of f prime of 2. Why 2?
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I think it's because 2 is in the interval [1, 3]
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Hi!! From 18:33 to 20:47, where did the -x^3 go? Thanks!
it was just a formula substitution, if b^3 then yes it is -x^3, but the formula said b only so it's just simply -x
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how did he got 9.261-6.859?
should we substitute 2 in f?
7:08 Answer should be 12.27055, it will only be 12.0001 if you will divide it by 0.002
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If a company invests x thousand dollars in advertising, the demand for its product will be D(x)=2000x^2+900x+60 items. Find the rate of change in demand with respect to advertising dollars when $1500 is spent on advertising.
Find the derivitive for D(x), then plug in x = 1500. The answer will be in 1000's
I still don't get it.
At 27:10 , did he arbitrarily choose x=3 or is there any reason for choosing 3?
X=3 is the midpoint of x=2 and x=5, that's why.
@@aatiqa31 ik this is late, but what does this question have to do with the midpoint x=2 and x=5? like where do those values come from?
edit: nvm i think u meant x=4 not x=5 bc the interval is between [2,4] so that would be 3
@@raamizsalim2105 nvm my original comment, i think it can be any arbitrary point not necessarily the mid point
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24.36
Can the average rage of change over an interval be negative?
No
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16:57 where is the 2 coming from
we wanted to find that using limit to find instantaneous rate of change at x=2
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