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Question
(sec x – 1)(sec x + 1)
Sum
Solution
`d/(dx) (sec x - 1)(sec x + 1)`
= `(sec x - 1) * d/(dx) (sec x + 1) + (sec x + 1) d/(dx) (sec x - 1)` .....[Using product rule]
= `(sec x - 1) (sec x tan x) + (sec x + 1) (sec x tan x)`
= `sec x tan x (sec x - 1 + sec x + 1)`
= `sec x tan x * 2 sec x`
= `2 sec^2x * tan x`
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The Concept of Derivative - Derivative of Slope of Tangent of the Curve
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