Home
Class 12
MATHS
cot^(-1)sqrt(x)...

`cot^(-1)sqrt(x)`

Text Solution

Verified by Experts

The correct Answer is:
`(-1)/(2sqrt(x)(1+x))`
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5f|31 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5g|12 Videos

  • Continuity and Differentiability

    NAGEEN PRAKASHAN|Exercise Exercies 5d|51 Videos

  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

  • DETERMINANTS

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

cot^(-1)(sqrt(1+x^2)-x)

Write into the simplest form: cot^(-1)(sqrt(1+x^(2))+x)

Evaluate cot^(-1)(sqrt(1+x^(2))+x)

differentiate cot^(-1)[sqrt(1+x^(2))+x]

Which of the following is/are true? (a) lim_(x rarr oo)((2+x)^(40)(4+x)^(5))/((2-x)^(45))=1(b)lim_(x rarr0)(1-cos^(3)x)/(x sin x cos x)=(3)/(2)(c)lim_(x rarr0)(ln(1+2x)-2ln(1+x))/(cot^(-1)(sqrt(x+1)-sqrt(x)))=-1 (d) lim_(x rarr oo)(cot^(-1)(sqrt(x+1)-sqrt(x)))/(sec^(1)((2x+1)/((x-1)^(2)))=1)=-1 (d)

Differeniate cot^(-1)(sqrt(1+x^(2))+x) w.r.t. x.

Differentiate the following w.r.t. x : cot^(-1)(sqrt(1+x^(2))-x) .

If y= cot^(-1)(sqrt(1+x^2+1)/x) " then find " dy/dx

Number of solutions of the equation cot^(-1)sqrt(4-x^(2))+cos^(-1)(x^(2)-5)=(3pi)/2 is:

The solution set of the equation sin^(-1)sqrt(1-x^(2))+cos^(-1)x=(cot^(-1)(sqrt(1-x^(2))))/(x)-sin^(-1)x is (a) [-1,1]-{0}(b)(0,1)uu{-1}(c)(-1,0)uu{1} (d) [-1,1]