Skip to content
Philoid
Browse Saved
Back to chapter
Maths
Delhi-2014
Home · Class 12 · Maths · Ref. Book · Delhi-2014
Prev
Next
Q14 of 45 Page 1

Differentiate with respect to when x ≠ 0.

Let and


Let x= sinθ


⇒θ=sin-1x


Now,










Now,



=cos-1(2 sin θ cos θ)


=cos-1(sin2θ)


⇒



⇒




Now,




= 1/2


More from this chapter

All 45 →
12

Prove that :

cot^-1 ( root 1+sinx + root 1-sinx/root 1+sinx - root 1-sinx ) = x/2 x in ( 0 , pi /4 )


OR


Prove that:


2tan^-1 ( 1/5 ) + sec^-1 ( 5 root 2/7 ) + 2tan^-1 ( 1/8 ) = pi /4

13

Using properties of determinants, prove that

15

If y = xx, prove that

16

Find the intervals in which the function f(x) = 3x4 - 4x3 - 12x2 + 5 is

(a) strictly increasing


(b) strictly decreasing


OR


Find the equations of the tangent and normal to the curve x = a sin3 θ and y = a cos3 θ at

Questions · 45
Delhi-2014
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 9 10 19 20 21 22 28 29 9 10 19 20 21 22 28 29
Back to chapter
ADVERTISEMENT
About Contact Privacy Terms
Philoid · 2026
  • Home
  • Search
  • Browse
  • Quiz
  • Saved