Question

Determine whether the curve has a tangent at the indicated point. If it does, give its slope. If not, explain why..

Answer 1

yes, 1/2

Answer 2

The whole thing is piece wise function..

How can you tell?

Answer 3

sorry it should be -1/4

Answer 4

How can you tell? Lol I have 4 more problems of this type so I want to know how to find it..

Answer 5

so u take derivative at x = 2 which is -1/x^2 , and then u plug in x as 2

Answer 6

Oh, but first I have to check if it is continuous right? If it not, then it would have no tangent?