(cos^(-1)(x)/(2))/(sqrt(2x+7)),-2

Differentiate w.r.t x the function ("cos"^(-1) (x)/(2))/(sqrt(2x + 7)) where -2 le x le 2

Differentiate w.r.t x the function cos ^(-1)(x/2)/(sqrt(2 x+7))

If f(x)=cos^(-1)x+cos^(-1){(x)/(2)+(1)/(2)sqrt(3-3x^(2))} then

cos^(-1)((x^(2))/(6)+sqrt(1-(x^(2))/(9))sqrt(1-(x^(2))/(4)))=cos^(-1)((x)/(3))-cos^(-1)((x)/(2)) hold for all x belonging to

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

f(x)=cos^(-1)(x^(2)/sqrt(1+x^(2)))

Differentiate w.r.t. x the function : cos^-1(x/2)/sqrt(2x+7) , x lies between -2 and 2

If x in(0,(pi)/(2)), thenshowthat(d)/(dx)cos^(-1){(7)/(2)(1+cos2x)+(sqrt(sin^(2)x-48cos^(2)x))sin x}=1+(7sin x)/(sqrt(sin^(2)-48cos^(2)x))