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u= f (tan x), v= g(sec x), f'(1) =2 and ...

`u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(dv)|_(x = (pi)/(4))`=……….

A

`sqrt2`

B

2

C

`(1)/(sqrt2)`

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
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  14. If F(x) = (1)/(x^(2)) underset(4)overset(x)int (4t^(2)- 2F'(t))dt then...

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  18. (d)/(dx) (x^(x))= ….(x gt 0)

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  19. (d)/(dx) (sin^(-1)x + cos^(-1) x)=……..(|x| lt 1)

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  20. (d)/(dx) (a^(a))= ……(a gt 0)

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