Find minimum and maximum of x^2+1 if they exist
There are several methods of finding the extrema(plural of extremums or in other words minimum or maximum values) of a function.
For now we will analyse the function using the dy/dx of f(x)=y=x2 +1, f`(x) = 2x
The sign of the diferentiation of the function change at x=0. Therefore for x<0 dy/dx<0 and the function is declining. For x>0 dy/dx>0 and the function is uprising. We can conclude that there is a minimum at x=0. We cannot find a maximum of the function as it approaches infinity.
PG
Related Maths A Level answers
All answers ▸Find the set of values of x for which x(x-4) > 12
Find the coordinates of the stationary point of the graph y = 3x^2 - 12x
A Block of mass 2kg is on an a smooth inclined plane where sin@ = 3/5 at point A. Point B is 5 meters down the incline. Find the time it will take for the block to reach point given it is at rest at point A.
Find the area contained under the curve y =3x^2 - x^3 between 0 and 3