differentiability of piecewise fcn, deriv of sqrt(3x)+2cosx

[bobithjones]

1. determine whether the function if differentiable at x=2

f(x)= (x/20 +1, x<2)
(sqrt(2x), x> or equal to 2)

2. the derivative of sqrt(3x) + 2cosx

 

[royhaas]

Check the first function for continuity.

 

[stapel]

For the second one, just take the derivatives of the two terms. The sum of the derivatives is the derivative of the sum!

Eliz.