Ley y = tan x. (a) Find the differential dy.(b) Evaluate dy and Δy if x = π/4 and dx = −0.1. (Round Δy to four decimal places.)

Required differential (a) and (b) .

Step-by-step explanation:

Given,

Let,

(a) To find differential,

differentiate (1) we get,

when, and dx=-0.1, then

   (Correct upto four decimal places)

(b) To find,

   ( where h=dy)

when

Correct upto four decimal places.

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