Thank you for your help :)
"The piecewise function
f(x)= n(x^3)-x______when____x<(or=to)1
=m(x^2)+5_______when_____x>(or=to)1
is differentiable everywhere. What is n?
If you could explain step by step how to do this that would be great because I just do not see how to do this problem...thank you
is it continous, and is f' continous
f(1)=n-1
g(1)=m+5, or m+5=n-1 or m=n-6
f'=3nx^2
f'(1)=3n
g'=2mx
g'(1)=2m
so continous means 2m=3n or 2n-12=3n
n=-12
check my work.