Finding the minimum value of tan(x²+2x) without a calculator

[Punkyc7]

Find where the min value will occur of tan(x^2+2x)

is there a way to do this without a calculator because I can't seem to figure it out without it. Also I'm not sure what the interval should be.

 

[SammyS]

Find where the min value will occur of tan(x^2+2x)

is there a way to do this without a calculator because I can't seem to figure it out without it. Also I'm not sure what the interval should be.

There's always Calculus!

What's the derivative of tan(x²+2x) ?

BTW: There is no absolute minimum.

There is one relative minimum which can be easily found using the derivative.

 

[Punkyc7]

sec^2(x^2+2x)*(2x+2)... I got it now. Thanks, I was messing up my line check.