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anonymous
 one year ago
Given that f(x)={8+x^3 when x<=1 and Bx+C when x>1} Determine the values of the constants B and C so that f is differentiable.
anonymous
 one year ago
Given that f(x)={8+x^3 when x<=1 and Bx+C when x>1} Determine the values of the constants B and C so that f is differentiable.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first plug in 1 to both what do you get?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so you have one equation \[B+C=9\] now take the derivative of both and then plug in 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0did i lose you there?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry I had to restart my computer, it was being weird. But using the shortcut I get that both derivatives are 0 because there are no xs

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0how do you find a derivative if there is no x?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0there is an \(x\) in \(Bx+C\) for sure

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh you mean before i plugged in 1, gotcha.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what do i do after I get the derivative and plug in 1? I need to go do something before i finish this problem but im guessing you wont be online later so i was hoping you could explain really quickly so i will know how to do it later.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes plug in 1 to both you should get \[B=3\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0making \(A=6\) and you are done
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