101 Maximum Volume of Cylinder with Surface Area 384 pi Derivatives Calculus

For maximum/minimum, the derivative should be zero.Calculus Optimization Playlist: • Optimization Number Qu...
Optimization of Time Application: Find the critical numbers and analyses for optimum value
/ @mathematicstutor
Test Increasing Decreasing Interval: • Test Series Increasing...
A unique series developed for the students preparing for GCSE Level A and equivalent examination globally. Anil Kumar has shared his knowledge with students who are preparing for GCSE Level A so that they can understand and perform much better.
Absolute Maximum and Absolute minimum value for any function continuous in closed interval [a, b] will always exist at the critical numbers or at the end points.
#optimization_Calculus #Increasing_Decreasing_Interval #IBSL_Calculus #IBSL_exponential_derivatives #Higher_Mathematics_Differentiation #anilkumarmath #globalmathinstitute #mcv4u
How to sketch Gradient Graph: • How to Sketch Graph of...

[@user-en6si2xn7f]

You could use second derivative to test for max/min too!

[@Lord_Sunday]

You saved my first year calculus course!

[@mathacademyforall4161]

Wonderfull video, How can you find the domain of the radius, Thanks

[@MathematicsTutor]

Height cannot be negative. Radius should therefore be less that square-root of 192. Hope that helps. Thanks

[@mathacademyforall4161]

🙏 Thanks@@MathematicsTutor

[@manuelcastresanamartinez9882]

The radius and height of a cylinder add up to 30 inches. Find the value of the radius and height that generate the maximum volume. help pleaseeeee

[@MathematicsTutor]

maximum volume of cylinder is when diameter and height are equal, h = d = 2r.
r + h = 30. since h = 2r, we can write r + 2r = 30
3r = 30 or r = 10 inches and h = 60 inches
thanks

[@ushuba8144]

Yeaaaa..

[@yiqianlee8467]

Thank you Sir❤️

[@newlife.oldlove]

Thank you very clear instruction

[@samesebor8960]

I've literally spent 2 days looking for a video like this. Thank you so much.

[@ushuba8144]

Thank you

[@amirfirdaus6886]

Determine the maximum volume of material to be used, in cm^3 in order to produce the hollow shaft that has surface area of 10π cm^2. (Given r = 3R/4) R is outer radius, r is inner radius. Please help me 😭🙏🏻

[@marianaspognardi8638]

Very clear, thank you!

[@MathematicsTutor]

Thanks. Feel free to post questions. All the Best!

[@AGuyInShades]

thank you, I love you

[@zorry2226]

u should be 100 k subs

[@iveyl506]

I love u

[@nirosshniemaganthiran6629]

Thank you so much sir

[@hayitsjohn]

good and clear. thank you so much

[@ollywright3334]

Oo

[@salmansaadiqmusic]

Thank you

[@zacharyferraro19]

Masterpiece

[@shwetabaisa8972]

Very helpful ....thanks a lot...

[@MathematicsTutor]

Thanks

[@lhorielynalmarez4392]

what is the unit use for the height and radius? inches or cm?

[@MathematicsTutor]

it is cm for both radius and height in this example
Thanks