# Did You Know what Actually is Point of Inflection ? (Part-1)

Calculus Level 3

Let $$f(x)=x^4-6x^2+5.$$ If $$P(x_0,y_0)$$ is a point such that $$y_0>f(x_0)$$ and there are exactly two distinct tangents drawn to the curve $$y=f(x),$$ what is the maximum value of $$y_0?$$

Try : Part-2

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