00:01
So for this true or false question, i'm just going to directly solve for this derivative, the derivative of this function, x squared plus x.
00:08
And to find the derivative, i'm just using this power rule, right up in the top right here, which is the derivative of x raised to some power n, it's equal to n times x to the n minus one power.
00:19
So here, this first term, n is equal to two, second one, n is equal to one.
00:25
So that means our derivative function is going to be two times x the first, or just 2x.
00:30
Plus 1 times x to the 0th or just 1.
00:34
And now that we have this derivative function, to show that it exists for every real number x, we just want to show that our range is equal to all real numbers...