What is the derivative of ##1+tan^2x##?

What is the derivative of ##1+tan^2x##?

2tanxsec^2x

differentiate using the##color(blue)(” chain rule “) ##

rewrite ## tan^2x = (tanx)^2##

d/dx[ 1 + (tanx)^2] = 2(tanx) d/dx(tanx)

= 2tanxsec^2x

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