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anonymous
 one year ago
Can someone help me find the derivative of the problem below? I'll give a medal! :)
anonymous
 one year ago
Can someone help me find the derivative of the problem below? I'll give a medal! :)

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 5 }{ (2x)^3 }\]

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2do you want to use quotient rule or product rule? personally I think product rule is easier xD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Whatever you think is easier, I'm okay with.

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2mmmkk well do you know product rule? :) \[\frac{ d }{ dx } [f(x) * g(x)] ~~=~~ f(x)*g'(x) + g(x)*f'(x)\]right? :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yes, I am familiar with it

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2mmm I'm not awake we can rewrite the given equation as \[5*(2x)^{3}\]right?

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2turns out we don't need product rule xD (cuz the numeator is a constant...) ingore what me said before we use power rule and chain rule \[5*(2x)^{3} \rightarrow 5(3)*(2x)^{4}*(\frac{ d }{ dx }2x)\]

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2tell me if you get confused xD

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Sorry, my page keeps reloading. And that makes sense

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You'd get 30(2x)^4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.030(2x)^4 sorry the 2s not negative

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2mhmm then we simplify and get \[15 * (2x)^{4} * (2) \rightarrow 30 * (2x)^{4} \rightarrow \frac{ 30 }{ (2x)^{4} } \]\(\huge \rightarrow \frac{30}{16x^4} \rightarrow \frac{15}{8x^4}\)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can also just use power rule... if you write \[5(2x)^{3} =5(2)^{3}x^{3} =\frac{5}{2^3}x^{3}=\frac{5}{8}x^{3} \\ \text{ then differentiate using power rule }\]

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2yay math thanks @freckles :)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thank you, both of you. :)

sleepyhead314
 one year ago
Best ResponseYou've already chosen the best response.2glad we could helppp :)
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