Home
Class 12
PHYSICS
Differentiate each function by applying ...

Differentiate each function by applying the basic rules of differentiation
`(x^(2))/(1-x)`

Text Solution

AI Generated Solution

To differentiate the function \( y = \frac{x^2}{1 - x} \), we will use the quotient rule of differentiation. The quotient rule states that if you have a function in the form \( \frac{A}{B} \), then its derivative is given by: \[ \frac{d}{dx}\left(\frac{A}{B}\right) = \frac{B \cdot \frac{dA}{dx} - A \cdot \frac{dB}{dx}}{B^2} \] In our case, \( A = x^2 \) and \( B = 1 - x \). ...
Promotional Banner

Similar Questions

Explore conceptually related problems

Differentiate each function by applying the basic rules of differentiation (x^(3))/(1-x)

Differentiate each function by applying the basic rules of differentiation 1//x

Differentiate each function by applying the basic rules of differentiation 1-x

Differentiate each function by applying the basic rules of differentiation (x-1)^(2)

Differentiate each function by applying the basic rules of differentiation 2x^(3)

Differentiate each function by applying the basic rules of differentiation 3x+5

Differentiate each function by applying the basic rules of differentiation pi^(3)

Differentiate each function by applying the basic rules of differentiation (7x^(3)-1)

Differentiate each function by applying the basic rules of differentiation (2x-5)

Differentiate each function by applying the basic rules of differentiation (x-1)(x-2)