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Find (dy)/(dx) for the curve x^(2)=y at ...

Find `(dy)/(dx)` for the curve `x^(2)=y` at the point (1, 1).

Text Solution

Verified by Experts

The correct Answer is:
2
`because y=x^(2)`
`(dy)/(dx)=2x`
`(dy)/(dx)` at the point (1, 1) is written as `((dy)/(dx))_(("1,1"))`
Therefore `((dy)/(dx))_(("1,1"))=2xx1=2`
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