Question

AP Calculus AB URGENT HELP PLEASE
I need help on these problems I can't figure out thanks in advanced:
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Answer 1

Maybe first find the derivatives of the given expressions for parts in the piecewise defined function :

Answer 2

So 5 , 2x, and 2

Answer 3

good, now the possible bad points are x=2 and x=4 as the function changes at those points, lets see if the derivative is defined at those points

Answer 4

For the derivative to be defined at those points, the slope of tangent as you approach left must equal the slope of tangent as you approach right

Answer 5

How do you figure that out?

Answer 6

to the left of x=2, whats the slope of tangent ?

to the right of x=2, whats the slope of tangent ?

Answer 7

recall, derivative at a point gives the slope of tangent at that point

Answer 8

Left = -
Right=+