问题
解答题
(1)求函数y=
(2)已知f(x)=x3+4cosx-sin
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答案
(1)y′=
=(x+3)′•(x2+3)-(x+3)•(x2+3)′ (x2+3)2
=(x2+3)-(x+3)•2x (x2+3)2 -x2-6x+3 (x2+3)2
(2)∵f(x)=x3+4cosx-sinπ 2
∴f'(x)=3x2-4sinx
f′(
)=3×π 2
-4sinπ2 4
=π 2
π2 -43 4