Question

What does a unique tangent mean?wrt differentiation?

Answer 1

For differentiation,there must exist a unique tangent at that point,does it mean single?

Answer 2

nope,like modulus function || is not diffable at x=0 because of absence of a unique tangent

Answer 3

@yrelhan4

Answer 4

what is differentiation? dy/dx or slope at that point.. a curve at a particular point can have only one value of slope.. multiple values of slope of a curve at a particular point is absurd.
thats what i can think of.

Answer 5

2 tangents here..