z=f(x^2,e^(2x+3y))
先求:
az/ay
=f'2* a(e^(2x+3y))/ay
=f'2 * e^(2x+3y) * 3
于是,
a^2z/ayax
=a(az/ay)/ax
=a(f'2 * e^(2x+3y) * 3)/ax
=3* a(f'2 * e^(2x+3y))/ax
=3*[f''21*(2x) + f''22*(2e^(2x+3y))]*e^(2x+3y) + 6*f'2*e^(2x+3y)
有不懂欢迎追问
z=f(x^2,e^(2x+3y))
先求:
az/ay
=f'2* a(e^(2x+3y))/ay
=f'2 * e^(2x+3y) * 3
于是,
a^2z/ayax
=a(az/ay)/ax
=a(f'2 * e^(2x+3y) * 3)/ax
=3* a(f'2 * e^(2x+3y))/ax
=3*[f''21*(2x) + f''22*(2e^(2x+3y))]*e^(2x+3y) + 6*f'2*e^(2x+3y)
有不懂欢迎追问