найти производную: у=sin(arctg^4(4x^3)) y=tg(arccos^3(3x^2))
у =(sin(arctg^4(4x^3))) = cos(arctg^4(4x^3))*(arctg^4(4x^3)) =
= cos(arctg^4(4x^3))*(4arctg^3(4x^3))*(arctg(4x^3)) =
= cos(arctg^4(4x^3))*(4arctg^3(4x^3))*(1/(1+(4x^3)^2)* (4x^3) =
= cos(arctg^4(4x^3))*(4arctg^3(4x^3))*(1/(1+(4x^6))* 12x^2
y = (tg(arccos^3(3x^2))) = 1/cos^2(arccos^3(3x^2))*(arccos^3(3x^2)) =
= 1/cos^2(arccos^3(3x^2))*3arccos^2(3x^2)*(arccos(3x^2) =
= 1/cos^2(arccos^3(3x^2))*3arccos^2(3x^2)*(-1/корень(1-(3x^2)^2))*(3x^2) =
= 1/cos^2(arccos^3(3x^2))*3arccos^2(3x^2)*(-1/корень(1-(3x^4))*6x
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