Question

110.求一道高数题?

Answer 1

先求出f(x)的一阶导数f'(x)

再用导数的定义式求f(x)二阶导数，见图

Answer 2

f(x) =(x-a)^2.g(x)
f'(x)=2(x-a).g(x) +(x-a)^2.g'(x)
f''(x)
=2f(x) +2(x-a).g'(x)+ 2(x-a).g'(x) +(x-a)^2.g''(x)
=2f(x) +4(x-a).g'(x)+ (x-a)^2.g''(x)
f''(a)
=2f(a)