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September 21, 2014

September 21, 2014

Posted by **APPRECIATIVE STUDENT** on Monday, January 17, 2011 at 8:52pm.

"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

- math -
**bobpursley**, Monday, January 17, 2011 at 8:58pmis 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.

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