例2求函数y=f"p"(sinx")的导数 解y'=uf"p"(sinx")·f'o"(sinx")l np" (sin x")p(sinx")·cosx"·nx n-1 =n3:x"-cosx"·∫"|o"(sinx") q"(sinx")·fIp"(sinx")·q(sinx") 上页
例 2 求函数 [ (sin )]的导数. n n n y = f x 解 [ (sin )] [ (sin )] n 1 n n n n y = nf x f x − (sin ) (sin ) n 1 n n n x x − 1 cos − n n x nx (sin ) [ (sin )] (sin ). cos [ (sin )] 13 1 1 n n n n n n n n n n x f x x n x x f x = − − −
二、双曲函数与反双曲函数的导数 (sinh x)=cosh x(cosh x)=sinh sInh ∵ tanha= cosh cosh x-sinh x (tanh x) cosh 即( tanh x) cosh 上页
二、双曲函数与反双曲函数的导数 (sinh x) = cosh x (cosh x) = sinh x x x x cosh sinh tanh = x x x x 2 2 2 cosh cosh sinh (tanh ) − = 即 x x 2 cosh 1 (tanh ) =