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已知
https://assets.asklib.com/psource/201603021603207157.jpg
,
(1)求f(x)的最小正周期;
(2)求f(x)单调区间;
(3)求f(x)图象的对称轴,对称中心。
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1. 已知函数 , 求 : f(0),f( ),f(-x),f(x+1),f( )./ananas/latex/p/233988
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设连续函数f(x)满足,且f(0)=1,求f(x).
设连续函数f(x)满足<img src='https://img2.soutiyun.com/ask/2021-01-02/978466547476644.png' />,且f(0)=1,求f(x).
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求下列函数在指定点的高阶导数:(1)f(x)=3x<sup>3</sup>+4x<sup>2</sup>-5x-9,求f"(1),f'''(1),f<sup>(4)</sup>(1);(2)f(x)=arctanx,求f"(0),f"(1),f"(-1)。
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设f(x)在连续,且满足关系式:,求f(x).
设f(x)在连续,且满足关系式:<img src='https://img2.soutiyun.com/ask/2020-12-20/977331812959016.png' />,求f(x).
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设f(2x-1)=,求f(x)dx.
设f(2x-1)=<img src='https://img2.soutiyun.com/latex/latex.action' />,求<img src='https://img2.soutiyun.com/latex/latex.action' />f(x)dx.
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设,,求f[f(x)],g[g(x)],f[g(x)],g[f(x)].
设<img src='https://img2.soutiyun.com/ask/2020-03-10/952670353111766.png' />,求f[f(x)],g[g(x)],f[g(x)],g[f(x)].
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设f(x,y)=ecosx(2x-y),求f&39;x(0,1),f&39;y(0,1).
设f(x,y)=e<sup>cosx</sup>(2x-y),求f&39;<sub>x</sub>(0,1),f&39;<sub>y</sub>(0,1).
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设可导,求F(x)=f[φ(x)]的导数
设<img src='https://img2.soutiyun.com/latex/latex.action' />可导,求F(x)=f[φ(x)]的导数
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设二阶可导函数f(x)满足,求f(x).
设二阶可导函数f(x)满足<img src='https://img2.soutiyun.com/latex/latex.action' />,求f(x).
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求函数f(x)=的连续区间,并求极限
求函数f(x)=<img src='https://img2.soutiyun.com/ask/2020-11-10/973854762775122.png' />的连续区间,并求极限<img src='https://img2.soutiyun.com/ask/2020-11-10/97385478004011.png' />
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设f(x)=x<sup>2</sup>-3x+2,求f(0),f(1),f(-2),f(-x),f(1/x)。
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设,求f(x)+f(1/x).
设<img src='https://img2.soutiyun.com/ask/2020-12-09/976371587275485.png' />,求f(x)+f(1/x).
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求函数f(x),使得f'(x)=(3x-4)(2-x),f(1)=1.
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已知f’(x<sup>2</sup>)=,求f(x).
已知f’(x<sup>2</sup>)=<img src='https://img2.soutiyun.com/ask/2020-08-18/966618496882041.png' />,求f(x).
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设f(x-y,y/x)=x2-y2,求f(x,y).
设f(x-y,y/x)=x2-y2,求f(x,y).
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若f(x)=√x,求
若f(x)=√x,求<img src='https://img2.soutiyun.com/ask/2021-01-13/979379234132673.jpg' />
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设f(x)对任何x都满足f(x+1)=2f(x),且f(0)=0,f'(0)=C(常数),求f"(1).
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设f(x)在[0,2]上连续,且f(x)+f(2-x)≠0,求
设f(x)在[0,2]上连续,且f(x)+f(2-x)≠0,求
<img src='https://img2.soutiyun.com/ask/2020-12-09/976373200636763.png' />
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已知二次函数y=f(x)的图象经过点(0,-8),(1,-5),(3,7)三点.
(1)求f(x)的解析式;
(2)求f(x)的零点;
(3)比较f(2)f(4),f(-1)f(3),f(-5)f(1),f(3)f(-6)与0的大小关系.
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设f(x)=,求f'(x)。
设f(x)=<img src='https://img2.soutiyun.com/ask/2020-12-07/976187786761876.jpg' />,求f'(x)。
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设f(x)=x(x-1)(x-2)…(x-n),求f'(0)及f(n+1)(x)。
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设函数f(x)连续,求F"(0).
设函数f(x)连续,<img src='https://img2.soutiyun.com/ask/2020-12-15/976873842329293.png' />求F"(0).
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求f[f(x)],g[g(x)],f[g(x)]与g[f(x)],其中:
求f[f(x)],g[g(x)],f[g(x)]与g[f(x)],其中:
<img src='https://img2.soutiyun.com/ask/2020-12-12/976629450887059.png' />
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设f(x)定义域为(-∞,+∞),f(x)=f(x-π)+sinx,当x∈[0,π]时,f(x)=x,求。
设f(x)定义域为(-∞,+∞),f(x)=f(x-π)+sinx,当x∈[0,π]时,f(x)=x,求<img src='https://img2.soutiyun.com/ask/2020-12-07/976189439058382.jpg' />。