Question

In Exercise determine whether the
statement is true or false.l f it is false, explain why or give an
example that shows it is false.
The slope of the graph of y=x^2 is different at every point on the graph of F

Answer 1

The slope is the first derivative which is y'=2x which is a line so yes, every x yields a unique y and the statement is true.

Answer 2

If a function is differentiable at a point. then it is continuous
at that point

Answer 3

that is true

Answer 4

you mean the seccond one?

Answer 5

If a function is differentiable at a point. then it is continuous at that point: this is true

Answer 6

A tangent line to a graph can intersect the graph at more
than one point

Answer 7

true