Why is it that the derivative of sec^2(x)=2sec^2(x)tan(x)???

Shouldn't it be:
2sec(x)tan(x), since you do the power rule on sec^2(x)...? Why is it that the derivative of sec^2(x)=2sec^2(x)tan(x)???

Shouldn't it be:
2sec(x)tan(x), since you do the power rule on sec^2(x)...? @Mathematics

Question

Why is it that the derivative of sec^2(x)=2sec^2(x)tan(x)???

Shouldn't it be:
2sec(x)tan(x), since you do the power rule on sec^2(x)...? Why is it that the derivative of sec^2(x)=2sec^2(x)tan(x)???

Shouldn't it be:
2sec(x)tan(x), since you do the power rule on sec^2(x)...? @Mathematics

anonymous · Answer

cuz der. sec^x= sec x tan x   times xprime

anonymous · Answer

Yes, but you minus one of the exponent!?!? 
so derivative of sec^2(x)=2sec^2-1(x)

anonymous · Answer

no i mean 2sec^2-1(x)tan(x), forgot the tan

anonymous · Answer

thats what i thought ntil i looked very closely and analyzed how they cam ame up with the answer.

the say ok the derivative = sec 2x tan 2x times the derivative of 2x

anonymous · Answer

wait i misundetstood. u want the derivative oc sec sqared x

anonymous · Answer

^^

Like I said, i know what the derivative of it is. I just want to know why it's not 2sec(x)tan(x).

anonymous · Answer

Oh pellet, i got it

anonymous · Answer

I figured it out, i was being dumb.

anonymous · Answer

chain rule