y= [ f(x+tanx) ] ∧2求导
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y= [ f(x+tanx) ] ∧2求导
![y= [ f(x+tanx) ] ∧2求导](/uploads/image/z/11519655-15-5.jpg?t=y%EF%BC%9D+%5B+f%28x%2Btanx%29+%5D+%E2%88%A72%E6%B1%82%E5%AF%BC)
y'=2f(x+tanx) [f(x+tanx)]'
=2f(x+tanx)f'(x+tanx) (x+tanx)'
=2f(x+tanx)f'(x+tanx)[1+(secx)^2]
=2f(x+tanx)f'(x+tanx) (x+tanx)'
=2f(x+tanx)f'(x+tanx)[1+(secx)^2]