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KarateChopKid
 3 years ago
How would one differentiate the following: 2x+3/√(12x)
KarateChopKid
 3 years ago
How would one differentiate the following: 2x+3/√(12x)

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baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0You can use the quotient rule.

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0Are you familiar with that?

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0yes I am familiar with this

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0so u = 2x+3 u' = 2 v = √(12x) v' = 1/√(12x)

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0The quotient rule says dy/dx = (u'v  uv')/v^2

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0ok and from there I begin to distribute, correct?

gurvinder
 3 years ago
Best ResponseYou've already chosen the best response.0u can do it with quotient rule

baddinlol
 3 years ago
Best ResponseYou've already chosen the best response.0Thats it follow (u'v  uv')/v^2

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1331119146075:dw use this this is the division rule

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0where u and v are two fuctions

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0I think that the square root in the function os throwing me off but I think that it would disappear in the deno. right? just leaving 12x on the bottom?

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0exactly. you are right. square root dissapears. THat makes the sum a lot easier

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0Thank you! I was working it out and ended with the same result.

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0One final question... how would you find the eq. of a line tangent to the graph f(x) = √(2x+9) at x=0 ?

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0take the first derivative of f(x) and equate all x to zero it gives the gradient of the tangent to the line at x=0

.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.3differentiate √(2x+9) then equate x=0 to the differentiated expression and get your gradient then create new equation using yy1=m(xx1)

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0then use y=mx+c to get the equa. of the line

.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.3to find y1 just equate x=0 to original equation, y=√(2x+9), then get your y1

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0ok I am still a little shaky on deffrentiating a radical equation, would it be 1/2x+9 ?

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0when u dof. the above one it'll be 1/(2x+9)^1/2

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0you have forgot the 1/2

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0ok so using the chain rule I use a fraction to symbolize the same radical function then move the 1/2 down and subtract by 1 to get my new power...got it

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0where did the "2" on the right come from though?

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0not that 1/2 i meant the power 1/2dw:1331120933568:dw this should be what u getting aftr dif.

.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.3Example, dw:1331120907510:dw

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0Ok, so since it was in the deno. it was risen to the 2nd power and that is how is came to cancel the 1/2 right?

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0in the orig. differentation

.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.3the 2 in the numerator when differentiating, so it will cancel the 1/2

.Sam.
 3 years ago
Best ResponseYou've already chosen the best response.3\[\huge \sqrt{x}=x ^{\frac{1}{2}}\]

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0ok I undrstand that example in omitting the radical but where did the 2 appear to make that cancel?

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0that is what is throwing me for a loop haha

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0wait look at this.. this how u solve n this is whr it got cancelleddw:1331121592002:dw

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0nevermind it came as a result of the y' and omitting the 9

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0or making 2x+9 just 2 right?

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0lol I can't get myself sometime haha but I think I understand that the 2 came as a result of taking the derivative of just 2x+9 resulting in just the 2 remaining...I think : /

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0ohh that one..wait this is clear the prob.dw:1331122282837:dw cool?

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0yea... that I what I was trying to say but I guess my wording is off. I see where the 2 came from

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0Haha thanks. So then from there I plug in my x=0 to solve for that equation

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0and then use that solution in pointslope form

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0that is correct. :) and then use thegradient equation to find the gradient...and the eq. of the line

salini
 3 years ago
Best ResponseYou've already chosen the best response.0hey shana as u say the 2 in the denominator cannot get cancelled...

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0which gives me 3 from the graident and 1/3 for my derivative function

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1331123039074:dw

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1331123158889:dw

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0good deal! Thank you for all of you help and have an awesome day or night wherever you are!

KarateChopKid
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1331123407516:dw

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0hhe it'll be night :) Anytime . I love guiding others not for money but for joy. :)

salini
 3 years ago
Best ResponseYou've already chosen the best response.0again how di u agree abt that 2 getting cancelled in the differentaition part

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0well salini, when u intergrate, the power comes to the front. ok? but when u again use the chain rule to integrate 2X u have to again multiply by 2. so they get cancelled off.

salini
 3 years ago
Best ResponseYou've already chosen the best response.0we cant give u money here instead we give away medals!

shana91
 3 years ago
Best ResponseYou've already chosen the best response.0I really dont do this for money.... your medals will be highly appreciated.. I just joined today n already in level 10. :) This is a good place to give away my knowledge.
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