### Home > CALC > Chapter 4 > Lesson 4.2.2 > Problem 4-61

4-61.

If a function is differentiable at *x* = *c*, does that guarantee that *f*(*c*) exists? Explain why or why not. Homework Help ✎

Recall that a derivative is the slope of a tangent line. Can a function have a tangent line at a point of discontinuity?