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

Calculus

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