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If y = log (sec x + tan x), find dydx. -

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Question

If y = log (sec x + tan x), find `dy/dx`.

Sum

Solution

∵ y = log (sec x + tan x)

∴ `dy/dx = 1/(secx + tanx) xx d/dx (secx + tanx)`

= `(secx tanx + sec^2x)/(secx + tanx)`

= `(secx (tanx + secx))/((secx + tanx))`

= sec x

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