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anonymous
 5 years ago
Find the derivative of the function.
g(x) = (5 + 3x)4(5 + x  x2)5
anonymous
 5 years ago
Find the derivative of the function. g(x) = (5 + 3x)4(5 + x  x2)5

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0To clarify, is this the proper equation? \[g(x) = (5+3x)^{4}(5+xx^2)^5\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Alright, I'll get to work. Make sure you're accounting for the product rule, AND the chain rule. This is quite a problem here.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thanks so much, i'm lost in it

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Start with \[(5+3x)^4\] and \[(5+xx^2)^5\] individually. Find their derivatives. You need to use the chain rule.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Sorry, doing chemistry stuff at the same time. Your answers should be \[12(5+3x)^3\] and \[5(5+xx^2)^4 \times 2x+1\] which simplifies to: \[(10x5)(5+xx^2)^4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I'm sorry I made a mistake. the second equation's derivative is \[(10x+5)(5+xx^2)^4\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Using the product rule (h x j)' = h'j + hj' g' = \[g' = [12(5+3x)^3 \times (5+xx^2)^5] + [(5+3x)^4 \times (10x+5)(5+xx^2)^4]\] I'm sure that you can simplify this further. Have at it, and keep practicing this. Wading through these difficult dx/dy problems is key :)
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