Home
Class 12
MATHS
Differentiate the following w.r.t.x. I...

Differentiate the following w.r.t.x.
If `y^x = e^(y - x)`, prove that `(dy)/(dx) = ((1 + log y)^2)/(log y)`

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION IX)(SHORT ANSWER TYPE QUESTIONS) |11 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION X)(SHORT ANSWER TYPE QUESTIONS) |24 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (MOST IMPORTANT QUESTIONS FOR PRACTICE)(SECTION VII)(SHORT ANSWER TYPE QUESTIONS) |9 Videos
  • APPLICATIONS OF DERIVATIVES

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEAR BOARD.S QUESTIONS FOR PRACTICE |73 Videos
  • DETERMINANTS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (PREVIOUS YEAR.S BOARD QUESTIONS FOR PRACTICE )|45 Videos

Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t.x. x^(x^2)

Differentiate the following w.r.t. x: e^-x

Differentiate the following w.r.t.x. e^(e^(x))

Differentiate the following w.r.t.x. e^(x)sinx

Differentiate the following w.r.t.x. If x^y = y^x , prove that (dy)/(dx) = (y/x - "log y")/(x/y- "log x")

Differentiate the following w.r.t.x: sin (log x)

Differentiate the following w.r.t.x. (log x)^x + x^(cos x)

Differentiate the following w.r.t. x: log(cos e^x)

Differentiate the following w.r.t.x. y = x^(x^(x^( oo))) , prove that x (dy)/(dx) = (y^2)/(1 - y log x)

Differentiate the following w.r.t.x. (log x)^(log x)