A> if a function is f(x) defined in R--> R, STRICLTY increasing and differentiable.. then the derivative of f:
a. May be less than 0 at some x.
b. May be infinite at some x.
c. is greater than or equal to 0 at every x belonging to R
d. is greater than 0 at every x belonging to R
I think the answer is "d" but I am not too sure as it can be 0 also at some point? This is because the second question has confused me a bit.
B> Consider a strictly decreasing function which is differentiable. Which of the following "may be true" about the derivative of f.
a. derivative > 0 for some x belonging to R
b. derivative = 0 for some x belonging to R
c. derivative = 0 for every x belonging to (a,b) where a<b.
d. derivative >= 0 for every x belonging to R
i think the ideal answer should have been "less than 0" but since that option is not there at all, i am slightly confused.