Question

Determine the intervals over which the function is increasing, decreasing, or constant. Find the location (x value) of any relative minimums or relative maximums.
f(x)=-3x^3+x

Answer 1

Please help!

Answer 2

You can do it using algebra
f(x)=-3x^3+x=x(1-3x^2)=x(1+sqrt3 x)(1-sqrt x)
and checking this and interpreting it

But it is easier if you just take the derivative and know that when f'(x)=0 the function has min/max

Answer 3

The easiest way would be to graph the function and then look when its increasing, decreasing and constant

Answer 4

You can do it using algebra
f(x)=-3x^3+x=x(1-3x^2)=x(1+sqrt3 x)(1-sqrt x)
and checking this and interpreting it

But it is easier if you just take the derivative and know that when f'(x)=0 the function has min/max

Answer 5

whatt are yall talking abiut. ?

Answer 6

Thank you very much!