Find the derivative and differential of function y = x ^ 3tan ^ 2 (x ^ 2-4)

Find the derivative and differential of function y = x ^ 3tan ^ 2 (x ^ 2-4)

Y=x^3tan^2(x^2-4)
derivatives
Y‘=3x²tan^2(x^2-4)+x³ 2tan(x^2-4)sec(x^2-4)*2x
differential
dy=y'dx=【3x²tan^2(x^2-4)+x³ 2tan(x^2-4)sec(x^2-4)*2x】dx

Derivation of y = x ^ 2 * e ^ (- 2x) * sin3x by mathematical derivative differential

Y = x & sup2; e ^ (- 2x) * sin3xdy / DX = sin3x * d [x & sup2; e ^ (- 2x)] / DX + X & sup2; e ^ (- 2x) * D (sin3x) / D (3x) * D (3x) / DX = sin3x * [e ^ (- 2x) * D (X & sup2;) / DX + X & sup2; * D (e ^ (- 2x)) / D (- 2x) * D (- 2x) / DX] + X & sup2; e ^ (- 2x) * cos3x * 3 = s

Let f (x, y) = sin (XY), then FX (x, y) =?

It should be the partial derivative of X, that is, FX (x, y) = D [f (x, y)] / DX = y * cos (XY)