Posted by Ifi on Saturday, October 27, 2012 at 10:25am.
How to d/dx
y= (9+((x9)/6)^1/5)^1/2 ?
Hope u can give me the way how to calculate it. ^^
I got 1/60 ((x9)/6) ^ (9/10), i think my answer is wrong because i check at wolfram website the ans is differrent from mine (sorry i didn't write the ans bcus the ans is quite long and difficult to type)

Math  Reiny, Saturday, October 27, 2012 at 1:01pm
not quite ....
let u = ( (x9)/6 )^(1/5)
then y = (9 + u)^1/2
dy/du = (1/2)(9+u)^(1/2)
du/dx = (1/5)( (x9)/6 )^(4/5) (1/6)
= (1/30) ( (x9)/6 )^(4/5)
so dy/dx = dy/du * du/dx
= (1/2)(9 + u)^1/2) (1/30) ( (x9)/6 )^(4/5)
= (1/60) (9 + ( (x9)/6 )^(1/5)^(1/2) ( (x9)/6 )^(4/5)
I suggest you check my steps for any errors, I should have written it out on paper first.
Wolfram seems to have performed some kind of complicated simplification.
How about this way:
square both sides:
y^2 = 9 + ( (x9)/6 )^1/2 , then by implicit differentiation,
2y dy/dx = (1/2)( (x9)/6) )^(1/2)
dy/dx = (1/4)(√(6/(x9) ) / y
or √6/(4y√(x9) ) , that's not bad

Math  hmm  Steve, Saturday, October 27, 2012 at 2:45pm
not bad, but
y^2 = 9 + ((x9)/6)^(1/5)
2y dy/dx = 1/5 ((x9)/6)^(4/5)
dy/dx = 1/(10y ((x9)/6)^(4/5))

Got me  Math  Reiny, Saturday, October 27, 2012 at 2:50pm
thanks for looking after me,
rotten copy errors.

Math  Ifi, Saturday, October 27, 2012 at 9:04pm
thanks for the calculation but i think there is a mistake at implicit diff.
y^2= 9 + ((x9)/6)^(1/5)
2y dy/dx = 1/5 ((x9)/6)^(4/5)) (1/6)
dy/dx = 1/60y ((x9)/6)^(4/5) ..... Sorryif im wrong
Btw why at wolfram the answer is
1/( 60y(9+y^2)^4). Why is the x become y^2 and why there are no 6 and ^(4/5)?
Answer This Question
Related Questions
 Math  Differentiate f(x)= (82x)^3(x^2+1)^5. My ans is 2(82x)^2(x^2+1)^4(3x^2...
 math  use implicit differentiation to find dy/dx and then d^2y/dx^2. y^2=ye^x^2...
 Math  Calculate dy/dx, (x^3)(y^7) + 16xy^6=0 My ans is (y(163x^2y))/ x(96+7x^...
 Math check and question  x is a binomial random variable. (Give your answers ...
 Math check  Find the critical value for the hypothesis test, given the ...
 Science  Which resource can be recycled? A. Natural Gas B. Eggs C. Sunlight D. ...
 Statistic check  Find the critical value for the hypothesis test, given the ...
 7th grade math (probability)  Can you check these, please? Ten cards numbered 1...
 chem  an aq. solution(NaCl) made by using 133g diluted to a total solution ...
 8th Grade Algebra Answer Check  Solve each system of equations, give the ...
More Related Questions