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Assume a function F(x) = (sin −1 x)+(cos −1 x) ³
Then find F'(x) and F"(x) .
Calculate The point (x=?) for Maxima/Minima F' (0) = 0.
Put the calculated value of x [ From F' (0) =0 ] to the equation F" (x) to check the condition for maxima.
Now you get the value of x for which F(x) is maximum.
Put that value of x [for maxima] in F(x) to get maximum value of (sin −1 x)+(cos −1 x)³ .
Here you may apply the formula (sin −1 x) + (cos −1 x) = pi / 2 .
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