Question

一道数学题,求教,设f(x)是三阶可导函数,求y'',y''' ,设：y=f(x²)

Answer 1

y′=2xf′(x²);

y″=2f′(x²)+4x²f″(x²);

y″′=4xf″(x²)+8xf″(x²)+8x³f″′(x²)=12xf″(x²)+8x³f″′(x²);