The detailed process of y = 1 / 2 (e ^ x + e ^ - x)

The detailed process of y = 1 / 2 (e ^ x + e ^ - x)

dy=d1/2(e^x+e^-x)=1/2d(e^x+e^-x)=1/2(de^x+de^-x)=1/2(e^xdx-e^-xdx)

Differential y = x ^ (x ^ 2)

If these two formulas are y = x ^ n, y '= NX ^ (n-1) (1) If y = a ^ x, y '= a ^ xlna (2) Y = x ^ (x ^ 2) dy / DX = y '= (x ^ 2) * x ^ (x ^ 2-1) [take the whole function as a whole, x ^ n type, use formula (1) to get this part] + (2x) * x ^ (x ^

1. Differential of y = e ^ x ^ 2. Differential of y = 1 / 4in (X-2) / (x + 2)

1, Dy = 2xe ^ x ^ 2 (first overall e ^ x ^ 2, then x ^ 2)
2,dy=1/4*(x+2)/(x-2)*4/(x+2)^2