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Draw the graph of y=sin^(-1)(x^(2))...

Draw the graph of `y=sin^(-1)(x^(2))`

Text Solution

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We have `y=f(x)=sin^(-1)(x^(2))`
Here f(x) is defined if `0lex^(2)le1" or "-1lexle1`
Now`f(-1)=f(1)=sin^(-1)1=pi//2`
`f(0)=sin^(-1)0=0`
`f'(x)=(2x)/(sqrt(1-x^(4)))`
`f'(x)=0thereforex=0`
Also f(x) is differentiab le in(-1,1).
Hence the graph of the function in as shown in the following figure.
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