Question

求这道高数题的详细解题过程，感谢

Answer 1

题目错误，x0 应写为 1.
lim<h→0>[f(1-2h) - f(1-5h)]/h
= lim<h→0>[f(1-2h) - f(1) + f(1) -f(1-5h)]/h
= lim<h→0>[f(1-2h) - f(1)]/h - lim<h→0>[f(1) - f(1-5h)]/h
= -2lim<h→0>[f(1-2h) - f(1)]/(-2h) - 5lim<h→0>[f(1-5h) - f(1)]/(-5h)
= -2f'(1) - 5f'(1) = -7f'(1) = 14

Answer 2

这个不就是普通的二重积分么？
∫∫(x+y)dxdy |D

=∫dy|0,2∫ (x+y)dx|0,2
=∫dy|0,2 (0.5 x^2+xy)|0,2
=∫(2+2y)dy |0,2
=2y +y^2|0,2
=8