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find derivative using chain rule

  • calculus-derivatives -

    y = x^3

    x = cos(z)

    z = 12 teta

    dy/dtheta =

    (dy/dz) (dz/dtheta) =

    (dy/dx) (dx/dz) (dz/dtheta) =

    3 x^2 [-sin(z)] 12 =

    -36 cos^2(z) sin(z) =

    -36 cos^2(12 theta) sin(12 theta)

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