Home
Class 12
MATHS
Find dy/dx if x^y = c...

Find dy/dx if
`x^y = c`

Text Solution

Verified by Experts

`x^ y = c. implies y In x= In c
implies d/dx cdot(y In x) = d/dx (In c)
implies dy/dx cdot In x + y d/dx (In x) = 0
implies dy/dx cdot In x + y/x = 0 implies dy/dx = -y/(x In x)`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

  • CONIC SECTIONS

    MBD PUBLICATION|Exercise QUESTION BANK|179 Videos

  • DETERMINATES

    MBD PUBLICATION|Exercise QUESTION BANK|176 Videos

Similar Questions

Explore conceptually related problems

Find (dy)/(dx) if x^y = y^x .

Find dy/dx if y^x =c

Find dy/dx if y = x cot^(-1) (x/y)

Find dy/dx if (cos x)^y = sin y

Find dy/dx if y^2 = x^y

Find dy/dx if y^2 = a^(sqrt x)

Find dy/dx if x tan y + y tan x = 0

Find dy/dx if y^2 + x^2 = In (x+y) +1

Find dy/dx if x cot y + y cosec x = 0

Find (dy)/(dx) if y = x^x + (sinx)^x .