Let `f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)xdot` Then find the maximum and minimum values of `f(x)dot`

Explanation

`f(x)=sinx+cosx+tanx+sin^(-1)x+cos^(-1)x+tan^(-1)x`

`x in[-1,1]`

`f(x)=sinx+cosx+tan^(-1)x+pi/2+tanx`

`f'(x)=cosx-sinx+1/sqrt(1+x^2)+0+sec^2x`

`f'(x)>0`

f is increseing

range in[f(-1),f(1)]

`f(-1)=sini+cosi-tani-x/2+pi-pi/4`

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