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I need to find the derivative using the chain and quotient rules of F(x)= ((3x2)^3)/((x3)^5). I just don't know when to stop doing chain rule and start the quotient
 one year ago
 one year ago
I need to find the derivative using the chain and quotient rules of F(x)= ((3x2)^3)/((x3)^5). I just don't know when to stop doing chain rule and start the quotient
 one year ago
 one year ago

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frxBest ResponseYou've already chosen the best response.3
Start by thinking of the quotient rule, it's (f'(x)g(x)f(x)g'(x))/(g(x))^2
 one year ago

frxBest ResponseYou've already chosen the best response.3
Then you just replace the derivitives using the chainrule
 one year ago

frxBest ResponseYou've already chosen the best response.3
\[\frac{ f'(x)*(x3)^{5}  (3x2)^{3}g'(x) }{(x3)^{10} }\]
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
don't you have to do the chain rule first? is it possible to derive the F(x) and g(x) equations without the chain rule?
 one year ago

frxBest ResponseYou've already chosen the best response.3
You have to do the chainrule when replacing the derivitives in the function i wrote above
 one year ago

frxBest ResponseYou've already chosen the best response.3
I think it's easier to start of writing it as above
 one year ago

marytheshadeBest ResponseYou've already chosen the best response.0
okay so I did the chain rule and got F'(g(x))= 9(3x2)^2 (top function deriv) and g'(x)= 5(x3)^4 (denominator deriv) so do I plug in those values or do I have to take the chain rule further?
 one year ago

frxBest ResponseYou've already chosen the best response.3
You just put them in as you counted them, the derivitive of f(x) is f'(x) and it's what you're looking for according to the quotientrule.
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.0
You've done with derivative u' and v' Plug them into the formula ( u'v  uv' ) / v²
 one year ago
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