Question

y=1/x(x-1)求y的四阶导数 y=1/x^-3x+2求y的n阶导数 y=sin^2x求y的n阶导数 y=x^2si

Answer 1

y=1/x(x-1)的四阶导数=24[X^5-(X-1)^5]/[X(X-1)]^5

y=1/x^-3x+2的n阶导数=[(-1)^n(n!)][(X-1)^(n+1)-(X-2)^(n+1)]/[(X-1)(X-2)]^(n+1)

y=sin^2x求y的n阶导数=2^(n-1)sin[2x+(n-1)(π/2)]

y=x^2sin2x求y的50阶导数=2^50[-x^2sin2x+50xcos2x+(1225sin2x)/2 ]