已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数) (1)求曲线y=f(x)已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数)(1)求曲线y=f(x)在点p(π/4,f(π/4))处的切线方程(2)求函数g(x)
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已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数) (1)求曲线y=f(x)已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数)(1)求曲线y=f(x)在点p(π/4,f(π/4))处的切线方程(2)求函数g(x)
已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数) (1)求曲线y=f(x)
已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数)
(1)求曲线y=f(x)在点p(π/4,f(π/4))处的切线方程
(2)求函数g(x)的单调递减区间
3 若m=1证明当x>0时 >f(x)>g(x)
已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数) (1)求曲线y=f(x)已知函数f(x)=sinx,g(x)=mx─x^3/6 (m为实数)(1)求曲线y=f(x)在点p(π/4,f(π/4))处的切线方程(2)求函数g(x)
1,=,与sinx器f(x)的函数f(x)= cosx中,k = f的(π/ 4)=cosπ/ 4 =√2/2
(π/ 4)=sinπ/ 4 =
设置√2/2方程:Y =的源码2/2X + B,和√2/2 =√2/2 *π/ 4 + B,B =(1-π/ 4的切线)源码2/2
Y =√2/2X +(1-π/ 4)√2/2
2,G'(x)= M-3X ^ 2/6 = MX ^ 2 / 2 = 0,X ^ 2 = 2M
当m 0时,cosx 0,H(X)> 0
( x)的 H(X)= 0 SIN0 = 0
F(X)
1,=,与功能的sinx装置(x)的(x)的= cosx中,K =(π/ 4)=cosπ/ 4 =√2/2
(π/ 4) =sinπ/ 4 =
源设置为√2/2方程:Y = 2/2X + B,和√2/2 =√2/2 *π/ 4 + B,B =(1-π/ 4切线)码2 /
Y =√2/2X +(1-π/ 4)√2/2
2,G'(x)= M-3X...
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1,=,与功能的sinx装置(x)的(x)的= cosx中,K =(π/ 4)=cosπ/ 4 =√2/2
(π/ 4) =sinπ/ 4 =
源设置为√2/2方程:Y = 2/2X + B,和√2/2 =√2/2 *π/ 4 + B,B =(1-π/ 4切线)码2 /
Y =√2/2X +(1-π/ 4)√2/2
2,G'(x)= M-3X ^ 2 / 6 = MX ^ 2/2 = 0,X ^ 2 = 2M
当m <= 0,G'(x)<0,G(x)是单调递减
M> 0,
- √(2米)<= 0,G(x)的单调增加
如果X =√(2米),G'(x)<0,G(X )的单调递减
3,M = 1,G(X)= xx ^ 3/6
H(X)= G(X)+ X ^ 3/6-F(X)= XX ^6分之3+χ^ 3/6-sinx = X-氮化
H'(X)=(X-氮化物)'= 1-cosx /> x> 0时,cosx <= 1 cosx = 1(在x分钟)=2π,且x查找:氮化硅=2πsin2π=2π> 0,H(X)> 0
(x)的<克(x)的+χ^ 6 Fenzhi 3 /> cosx 0,H(X)是一个单调增加的,并在x = 0 H(X)达到最小> H(X)= 0 SIN0 = 0
F(X)
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