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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first plug in 1 to both
what do you get?

I get 9 and B+C

ok so you have one equation
\[B+C=9\]
now take the derivative of both and then plug in 1

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