Home
Class 12
MATHS
If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) ,...

If `y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4))` , then find `(dy)/(dx)dot`

Text Solution

Verified by Experts

`y=(1+x^(1//4))(1+x^(1//2))(1-x^(1//4))`
`=(1+x^(1//4))(1-x^(1//4))(1+x^(1//2))`
`=(1-x^(1//2))(1+x^(1//2))`
`=1-x`
`therefore" "(dy)/(dx)=-1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.1|7 Videos
  • DIFFERENTIATION

    CENGAGE|Exercise Exercise 3.2|38 Videos
  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos
  • DOT PRODUCT

    CENGAGE|Exercise DPP 2.1|15 Videos