Logical Operations and Truth Tables::
The study of logic as a branch of mathematics will require you to think more Therefore, any logical statement which contains a finite number of logical
http://www.rwc.uc.edu/koehler/comath/21.htmlHOME |
These are true or false statements and im having problems explaining why they are true or not.
A function that is continous on a point, then it is differentiable at that point.
i said that this is false because the function y=6 is constant and does not differ. is this correct?
the second dericvative is the rate of change of the first derivative.
i said true, but i dont know how to explain why.
If the Velocity of an object is constant, then its acceleration is zero.
I said true, but i dont know how to explain why
1) FALSE, a function can be continuous and non-derivable. But your example is wrong, y=6 is differentiable with y'=0. A function is non-derivable at a point if the derivative does not exist; 0 is a valid derivative, though.
A good example could be:
y=6x, x<0;
y=x, x>=0;
That is a continuous but non-differentiable function at x=0.
2) TRUE. If the first derivative is the rate of change of the function, the second derivative is the first derivative... of the first derivative ;-)
3) TRUE. a= dv/dt. if v is constant, its derivative equals to 0.
 Red Hat's Rough Recovery From CFO Exit
 Windows Live Finds a New, Pre-installed Home
|
T/F with math statements?