If y+log(1+x)=0 which of the following i...

If `y+log(1+x)=0` which of the following is true?

`e^(y)=xy'-1`

`y'=-(1)/((x+1))`

`y'+e^(y)=0`

`y'=e^(y)`

Text Solution

Verified by Experts

The correct Answer is:

B, C

Topper's Solved these Questions

DIFFERENTIATION
ARIHANT MATHS ENGLISH|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos
DIFFERENTIATION
ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|16 Videos
DIFFERENTIATION
ARIHANT MATHS ENGLISH|Exercise SOLVED EXAMPLES|7 Videos
DIFFERENTIAL EQUATION
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos
DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS
ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

which of the following is true for x in [0,1] ?

For the system of equation "log"_(10) (x^(3)-x^(2)) = "log"_(5)y^(2) "log"_(10)(y^(3)-y^(2)) = "log"_(5) z^(2) "log"_(10)(z^(3)-z^(2)) = "log"_(5)x^(2) Which of the following is/are true?

If ln (xy)lt0 , which of the following must be true ?

For the given circles x^(2)+y^(2)-6x-2y+1=0 and x^(2)+y^(2)+2x-8y+13=0 , which of the following is true?

y = f(x) which has differential equation y(2xy + e^(x)) dx - e^(x) dy = 0 passing through the point (0,1). Then which of the following is/are true about the function?

If 2x = 2y + 1 , then which of the following could be true?

If x ="log"_(a)(bc), y ="log"_(b)(ca) " and "z = "log"_(c)(ab), then which of the following is correct?

If a function is represented parametrically be the equations x=(1+(log)_e t)/(t^2); y=(3+2(log)_e t)/t , then which of the following statements are true? y^(x-2x y^(prime))=y y y^(prime)=2x(y^(prime))^2+1 x y^(prime)=2y(y^(prime))^2+2 y^(y-4x y^(prime))=(y^(prime))^2

log.(K_(P))/(K_(C))+logRT=0 . For which of the following reaction is this relation true?

Which of the following is not true log(1+x)ltx for xgt0

ARIHANT MATHS ENGLISH-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)

The function u=e^x sin x ; v=e^x cos x satisfy the equation a.v(d u...
Text Solution
|
If f(x)=log(x^(2))(logx),then f '(x)at x= e is
Text Solution
|
Let f be a differentiable function satisfying [f(x)]^(n)=f(nx)" for ...
Text Solution
|
If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...
Text Solution
|
"If "y=sqrt(x+sqrt(y+sqrt(x+sqrt(y+...oo))))," then prove that "(dy)/(...
Text Solution
|
If f(x)=|cosx-sinx| , then f'(pi/4) is equal to
Text Solution
|
Let f(x)=x^2+xg^2(1)+g^''(2) and g(x)=f(1).x^2+xf'(x)+f''(x), then fin...
Text Solution
|
if f(x) = x^n then the value of f(1) - (f'(1))/(1!) + (f''(1))/(2!) +...
Text Solution
|
If y+log(1+x)=0 which of the following is true?
Text Solution
|
If y=2^(3^(x)), then y' equals
Text Solution
|
If g is the inverse of fandf(x) = x^(2)+3x-3,(xgt0). then g'(1) equal...
Text Solution
|
If x^(3)-2x^(2)y^(2)+5x+y-5=0 and y(1) = 1, then
Text Solution
|
Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a)1/(2y-1)...
Text Solution
|
Ify=x^((lnx)^ln(lnx)) , then (dy)/(dx) is equal to
Text Solution
|
Which of the following functions are not derivable at x=0?
Text Solution
|
"Let "f(x)=(sqrt(x-2sqrt(x-1)))/(sqrt(x-1-1))x." Then"
Text Solution
|
If 2^(x)+2^(y)=2^(x+y) then (dy)/(dx)is equal to
Text Solution
|
For the function y=f(x)=(x^(2)+bx+c)e^(x), which of the following hold...
Text Solution
|
If sqrt(y+x)+sqrt(y-x)=c, where cne0, then (dy)/(dx) has the value equ...
Text Solution
|
If y = tan x tan 2x tan 3x, (sin 12x != 0) then dy / dx has the value ...
Text Solution
|