Home
Class 12
MATHS
For a positive constant a find (dy)/(dx)...

For a positive constant a find `(dy)/(dx)`, where
y= `a^(t+(1)/(t))," and "x=(t+(1)/(t))^(a)`.

Text Solution

Verified by Experts

The correct Answer is:
`(a^(t+(1)/(t))loga)/(a(t+(1)/(t))^(a-1))`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.1|39 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise EXERCISE 5.2|10 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    NCERT BANGLISH|Exercise MISCELLANEOUS EXERCISE ON CHAPTER 5|23 Videos
  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NCERT BANGLISH|Exercise Miscellaneous Exercises on Chapter 4|18 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) when : tan y=(2t)/(1-t^(2)), sin x=(2t)/(1+t^(2))

Find (dy)/(dx) if:- x = 2t,y= t^3

Find (dy)/(dx) when : x=a(t-sin t), y=a(1-cos t)" at " t=(pi)/(2)

Find (dy)/(dx) when : x=a(cos t+"log tan"(t)/(2)), y=a sin t

Find (dy)/(dx) if:- x = t,y= t^2 + t

If x= t log t,y = (log t)/t , find (dy)/(dx) when t=1

Find (dy)/(dx) when : x=a(2t+sin2t), y=a(1-cos2t)

If x=t^(2) and y=log t , find (dy)/(dx) .

The eccentricity of the hyperbola 2x = a(t + (1)/(t)), 2y = a(t-(1)/(t))

Find (dy)/(dx) if:- x = cos t,y= tan t