Home
Class 12
MATHS
If y=e^(sqrt(x))+e^(-sqrt(x)), then (d...

If `y=e^(sqrt(x))+e^(-sqrt(x))`, then `(dy)/(dx)` is equal to -

A

`(e^(sqrt(x))-e^(-sqrt(x)))/(2sqrt(x))`

B

`(e^(sqrt(x))-e^(-sqrt(x)))/(2x)`

C

`(1)/(2sqrt(x))sqrt(y^(2)-4)`

D

`(1)/(2sqrt(x))sqrt(y^(2)+4)`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Integer Answers Type)|5 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Matrix Match Type)|2 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise EXERCISE 3B (Short Answer Type Questions)|18 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Let y=sqrt(x+sqrt(x+sqrt(x+...oo))) , then (dy)/(dx) is equals to -

If y=sqrt(sin sqrt(x)) , then the value of (dy)/(dx) is -

If x y=e^((x-y)), then find (dy)/(dx)

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) ,then (dy)/(dx) is equal to (a) (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c) (a y)/(xsqrt(a^2-x^2)) (d) none of these

If y=sqrt(x+sqrt(y+sqrt(x+sqrty+...oo))) then (dy)/(dx) equal to

" If "y=sqrt((1-x)/(1+x))," then "(1-x^(2))(dy)/(dx) is equal to

If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)) then (dy)/(dx) is equals to

"If "sqrt(x)+sqrt(y)=4," then find "(dy)/(dx).

Let y=sqrt(x+sqrt(x+sqrt(x+oo))) , (dy)/(dx) is equal to (a) 1/(2y-1) (b) x/(x+2y) (c) 1/(sqrt(1+4x) (d) y/(2x+y)

If x sqrt(1+y)+y sqrt(1+x)=0 then the value of (dy)/(dx) is -