1.

For the curve `sqrtx+sqrty=1`, what is the value of `(dy)/(dx)` at `((1)/(4),(1)/(4))`?A. `(1)/(2)`B. 1C. `-1`D. 2

Answer» Correct Answer - C
Given function : `sqrtx+sqrty=1`
is an implicit functionb
Differentiating both sides w.r.t. x, we get
`(1)/(2sqrtx)+(1)/(2sqrty)(dy)/(dx)=0`
`rArr(dy)/(dx)=-sqrt((y)/(x))`
Value of `(dy)/(dx)" at "x=(1)/(4),y=(1)/(4)`
`((dy)/(dx))_(((1)/(4)","(1)/(4)))=-sqrt((1//4)/(1//4))=-1`


Discussion

No Comment Found