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L egf(x)={x^(3/5),ifxlt=1-(x-2)^3,ifx >1...

`L egf(x)={x^(3/5),ifxlt=1-(x-2)^3,ifx >1` Then the number of critical points on the graph of the function is___

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The correct Answer is:
3
A,B,C are the three critical points of y =f(x)

At B it has vertical tangent .Hence it is non differentiable At A it isnone differentiable
At C, `(dy)/(dx)=0`
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CENGAGE ENGLISH-MONOTONICITY AND MAXIMA MINIMA OF FUNCTIONS-Numerical Value Type
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