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sha0403
Group Title
find dy/dx for sqrt of (9+ ((x9)/6)^1/5) ?
i don't know how to do this...
 2 years ago
 2 years ago
sha0403 Group Title
find dy/dx for sqrt of (9+ ((x9)/6)^1/5) ? i don't know how to do this...
 2 years ago
 2 years ago

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Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
I think nesting of differentiation is a good idea.. \[\huge \frac{ d }{ dx } (\sqrt{9+(\frac{ x9 }{ 6 })^{\frac{ 1 }{ 5 }}})\] \[\huge \frac{ d }{ dx } (x^{n+1}) = (n+1)x^{n}\] then use the chain rule \[\huge \sqrt{x} = x^{\frac{ 1 }{ 2}}\] hope this will assist you
 2 years ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
i still did not get it.. can u teach me in detail?
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
I don't know I will be able to complete, thre is a chance of power failure here.. but let me try
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
ok... as a first we need to know chain rule of differentiation
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
as an example \[\huge \frac{ d }{ dx } (\sqrt{a+x^{n}}) = \frac{ d }{ dx } ({a+x^{n}})^\frac{ 1 }{ 2 }\]
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
a function of x... and find the derivative by function by function using the chain rule...(function by function differntiation)
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
here first function is square root (raised to 1/2) second function of x is \[\large x^{n}\] chain rule states that \[\huge \frac{ d }{ dx }(f(g(x))) = f^{'}(g(x))\times g^{'}(x)\]
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
here in this example square root is f(x) and \[\large x^{n}\] is g(x) Hope that now you can some what understand
 2 years ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
i think i get a little what do u say...
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
so the answer for the example becomes \[\huge (a+x^{n})^{\frac{ 1 }{ 2 }} \times (0+n \times x^{n1}) \] which is equal to \[\huge (a+x^{n})^{\frac{ 1 }{ 2 }} \times(n \times x^{n1}) \]
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
hope you under stood... so comming back to your question can you say how many functions are there in your qustion?
 2 years ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
about 2 function?
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
try to figure out what is the functions... and how you can apply chain rule.... and refer example when in doubt... i listd the needed formule in my first reply...(expect chain rule, which is listed in above comments)
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
yes you are right... two functions... I think powerfailure will be happening in a minute :(
 2 years ago

sha0403 Group TitleBest ResponseYou've already chosen the best response.0
ok..then i try i get 1/2((9+(x9)/6)^1/5)^1/2 . 1/30((x9)/6)^4/5) its right or not?
 2 years ago

Rosh007 Group TitleBest ResponseYou've already chosen the best response.3
yes .. it is right......(sorry for late reply) glad you figured out
 2 years ago
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