Is the following true or false? d3/dx3(xsin(x))=-xcos(x)-3sin(x)

Step-by-step explanation:

That is a true statement.

The first derivative is

The second derivative is

The third derivative is

If you don't know how to find a derivative at this point, you'll be in a lot of trouble when it comes to integration. I recommend learning these.

the equivalent expression are always the hardest ones but you look at the gcf also

step-by-step explanation:

guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: