यदि `y=(1+x^(1//4))(1+x^(1//2))(1-x^(1//4))` है तो `(dy)/(dx)` किसके बराबर है ?

Options

A. 1
B. `-1`
C. x
D. `x^(1//2)`

Answer

B

Explanation

दिया है,
`y=(1+x^(1//4))(1+x^(1//2))(1-x^(1//4))`
`rArr" "y={(1+x^(1//4))(1-x^(1//4))}(1+x^(1//2))`
`[because(a-b)(a+b)=a^(2)-b^(2)]`
`rArr" "y=(1-x^(1//2))(1+x^(1//2))`
`rArr" "y=1-x`
`rArr" "y=1-x`
दोनों पक्षों का x के सापेक्ष अवकलन करने पर,
`(dy)/(dx)=-1`