例2求函数y=f"|q"(sinx")的导数 解y'=nfnp"(sinx")·f'p"(sinx" nq"(sinx"):q(sinx")·cosx"·nx n-1 =n· cos x "·f"qp"(sinx")l φp"(sinx")·f'p"(inx")p'(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)=coshx(cosh x)'=sinh x tanhrs sinh cosh cosh x-sinhx ∴( tanh x)= cost x 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 ) =