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For the curve sqrt(x) + sqrt(y) = 1, (dy...

For the curve `sqrt(x) + sqrt(y) = 1, (dy)/(dx)` at `(1/4,1/4)` is `"………."`.

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The correct Answer is:
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`:' f(x) = |cosx-sinx|`,
`:. f'(pi/3) = (sqrt(3) + 1)/(2)`
We know that, `(pi)/(4) lt x lt (pi)/(2).sinx gt cosx`
`:. cosx - sin x le 0` i.e., `f'(x) = -(cosx- sinx)`
`f'(x) = -[-sinx- cosx]`
`:. f'(pi/3) = (-sqrt(3)/2-1/2)= ((sqrt(3)+1)/(2))`
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