Question

arctanx^1/2求导

Answer 1

你好!

(arctan√x )'

=1/(1+x) * (√x)'

= 1/(1+x) * 1/(2√x)

= 1/ [ 2(1+x)√x ]

[√arctanx] '

= 1/ (2√arctanx) * (arctanx)'

= 1/(2√arctanx) * 1/(1+x²)

= 1/ [ 2(1+x²)√arctanx ]