Find the values of m and b that make the following function differentiable. f(x) = {x^2, x less than or equal to 2 mx+b, x> 2} you so

In order to be differentiable everywhere, must first be continuous everywhere, which means the limits from either side as must be the same and equal to . By definition, , and

so we need to have .

For to be differentiable at , the derivative needs to be continuous at , i.e.

We then need to have

Then

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol

1.3 million hoops i believe