Home
Class 11
PHYSICS
Obtian (dy)/(dx) for the following : (...

Obtian `(dy)/(dx)` for the following :
`(1-sqrtx)/(1+sqrtx)`

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the function \(y = \frac{1 - \sqrt{x}}{1 + \sqrt{x}}\), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \(y = \frac{u}{v}\), then the derivative \(\frac{dy}{dx}\) is given by: \[ \frac{dy}{dx} = \frac{v \frac{du}{dx} - u \frac{dv}{dx}}{v^2} \] where: - \(u = 1 - \sqrt{x}\) ...
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (6)|16 Videos
  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (7)|6 Videos
  • MATHEMATICAL TOOLS

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS (4)|7 Videos
  • GRAVITATION

    MODERN PUBLICATION|Exercise Chapter Practice Test|15 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    MODERN PUBLICATION|Exercise Chapter Practise Test|16 Videos

Similar Questions

Explore conceptually related problems

Obtian (dy)/(dx) for the following : y=x^(-3)

int(sqrtx)/(1+xsqrtx)dx-

Find dy/dx for the following functions: y= x+ sqrtx + (1/sqrtx)

int(1-cossqrtx)/(sqrtx)dx=

f(x)=sqrtx-(1)/(sqrtx)

Find dy/dx for each of the following y=(sqrtx+1/sqrtx)(1+x+x^(2))

Find dy/dx for the following functions: y= ((x-1)(x-2))/sqrtx .

Find dy/dx for each of the following y=((x-sqrtx)/(1-2x))^(2)

Find the following integrals : int (sqrtx-1/sqrtx)^2 dx

int(sqrt(1+sqrtx))/(sqrtx)dx=