Question

Determine the values of the constants B and C so that the given function is differentiable.

f(x)=5x^3 when x1

Answer 1

I've found the limit approaching from the left to be 5 and the limit approaching from the right to be B+C. B+C=5

Answer 2

That is a piecewise function by the way.

Answer 3

if i remember correctly.. for it to be continuous .. the slopes need to be equal from the left and right as well. so f'(x) needs to be equal in the limits.