As the question asks, please answer it as auickly as possible :)
If you have done the rule tan x = sec² x then use it with the chain rule like this:
d/dx [tan² (2 + θ³)] = 2 tan (2 + θ³) * sec² (2 + θ³) * 3θ²
= 6θ² tan (2 + θ³) sec² (2 + θ³)
if you haven't write it like this:
tan² (2 + θ³) = sin² (2 + θ³) / cos² (2 + θ³) then use the quotient rule and simplify
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If you have done the rule tan x = sec² x then use it with the chain rule like this:
d/dx [tan² (2 + θ³)] = 2 tan (2 + θ³) * sec² (2 + θ³) * 3θ²
= 6θ² tan (2 + θ³) sec² (2 + θ³)
if you haven't write it like this:
tan² (2 + θ³) = sin² (2 + θ³) / cos² (2 + θ³) then use the quotient rule and simplify