Question

Question 29 Find the derivative of the following functions (it is to be understood that a, b, c, d, p, q, r and s are fixed non-zero constants and m and n are integers): (x + sec x) (x – tan x)

Class XI - Limits and Derivatives Page 318

Answer 1

u'v+v'u
(1-sinX)(X-tan-x)(1-sec2X)(x+cos x)
(1-sinX)(X-tan-x)-(sec2x-1)(x+cos x)
(1-sinX)(X-tan-x)-tan2(x+cos x)
-tan2 x(x+cos x)+(X-tan-x)(1-sinX)
sec2x-1=tan2 -x
sec 2mean  sec power 2
tan2 mean  tan power 2

Answer 2

refer to the attachment
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formula used
d/dx(tanx) = sec²x
d/dx(secx) = secx tanx


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