y = (x+ sqrt(x^(2)+a^(2)))^(n), then dy/...

`y = (x+ sqrt(x^(2)+a^(2)))^(n)`, then dy/dx =

A

ny

B

`(ny)/(sqrt(x^(2)+a^(2))`

C

`(n)/(sqrt(x^(2)+a^(2)))`

D

`(-n)/(sqrt(x^(2)+a^(2)))`

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DIFFERENTIAL EQUATIONS
HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos
ELLIPSE
HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK

If y = tan^(-1) (cosec x - cot x), then dy/dx =
Text Solution
|
If y = (e^(x)+1)/(e^(x)-1), then y^(2)/2 + dy/dx =
Text Solution
|
y = (x+ sqrt(x^(2)+a^(2)))^(n), then dy/dx =
Text Solution
|
If y = 1 + x + x^(2)/(2!) + x^(3)/(3!)+x^(4)/(4!)+ ....., then dy/dx =
Text Solution
|
The least value of n so that y(n) = y(n+1), where, y = x^(2)+e^(x) is
Text Solution
|
If y = (1+ 1/x)^(x), then dy/dx =
Text Solution
|
If y =(sin x)^(tan x), then dy/dx =
Text Solution
|
A differentiable function f(x) is such that f91) =7 and f^(')(1) = 1/7...
Text Solution
|
The differentiable coefficient of x^(6) w.r.t. x^(3) is :
Text Solution
|
(d)/(dx)((x)/(2)sqrt(x^(2)+a^(2))+(a^(2))/(2)log(x+sqrt(x^(2)+a^(2))))...
Text Solution
|
If y = f((2x-1)/(x^(2)+1)) and f^(')(x) = sin x^(2), then dy/dx =
Text Solution
|
If y = x . tan y, then dy/dx =
Text Solution
|
The derivative of sec^(-1)((1)/(2x^(2)-1)) w.r.t. sqrt(1-x^(2)) at x=1...
Text Solution
|
If y = sqrt(tanx+sqrt(tan+sqrt(tanx+......,)))then dy/dx =
Text Solution
|
If y = 2^(ax) and dy/dx = log 256 at x =1, then the value of a is
Text Solution
|
If x^(y) = log x, the value of dy/dx at x = e is
Text Solution
|
d/dx {(cosx + sinx)/(cos x - sin x)} =
Text Solution
|
If f(x) = |x|, then f^(')(0) =
Text Solution
|
If x = y sqrt(1-y^(2)), then dy/dx =
Text Solution
|
If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =
Text Solution
|