Home
Class 12
MATHS
The derivative of (x + sqrt(x ^(2) -1)) ...

The derivative of `(x + sqrt(x ^(2) -1)) ^(m)` w.r.t x is

A

`(m (x + sqrt(x ^(2) + 1))^(m))/(sqrt(x ^(2) +1))`

B

`(m (x + sqrt(x ^(2) - 1))^(m))/(sqrt(x ^(2) -1))`

C

`(m (x - sqrt(x ^(2) + 1))^(m))/(sqrt(x ^(2) +1))`

D

`(m (x - sqrt(x ^(2) + 1))^(m))/(sqrt(x ^(2) -1))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B|114 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-4|6 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

The derivative of (x + sqrt(x ^(2) + 1))^(n) w.r.t x is

The derivative of log (x +sqrt(x ^(2) + a^(2))) w.r.t x is

The deriative of log (x + sqrt(x ^(2) -1)) w.r.t x is

The derivative of Sin ^(-1) 2x sqrt(1-x ^(2)) w.r.t x is

The derivative of (x ^(2) + 1)^(5) (2x +3) ^(3) w.r.t x is

The derivative of sqrt(Tan ^(-1)(e ^(x))) w.r.t x is

The derivative of sqrt(sin x + sqrt(sin x )) w.r.t x is

The derivative of sqrt(tan x + sqrt(tan x )) w.r.t x is

The derivative of Sin ^(-1) sin (x ^(2) -2) w.r.t x is

The derivative of Cos ^(-1) (2x ^(2) -1) w.r.t x is