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Differentiation problem?

Hi, I have an equation I need to differentiate, but I'm not sure how;

x=2dtan(θr)cos(θi)

d is constant, θi and θr are angles of incidence and refraction, both varying. The question involves finding a maximum x for an angle θi, so I need to differentiate x with respect to θi.
Reply 1
If you only vary θi\theta_i, then θr\theta_r is constant, so just treat tan(θr)\tan(\theta_r) as a constant.
Reply 2
Original post by around
If you only vary θi\theta_i, then θr\theta_r is constant, so just treat tan(θr)\tan(\theta_r) as a constant.


But θr\theta_r varies as θi\theta_i varies, so how can you treat is as a constant?
Reply 3
Original post by cameron95
But θr\theta_r varies as θi\theta_i varies, so how can you treat is as a constant?


And what rule connects them

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