1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
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1.y=x^3+log2x
2.y=x^n+e^x
3.y=(x^3-1)/sinx
4.y=(x+1)^99
5.y=2e^(-x)
6.y=2xsin(2x+5)
7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
1.y=x^3+log2x
y`=3x^2+1/2log2(e)
2.y=x^n+e^x
y`=nx^(n-1)+e^x
3.y=(x^3-1)/sinx
y`=[(x^3-1)`sinx-(sinx)`(x^3-1)]/(sinx)^2
=(3x^2sinx-x^3cosx+cosx)/(sinx)^2
4.y=(x+1)^99
设u=x+1 y=u^99
y`=u`*y`=99(x+1)^98
5.y=2e^(-x)
y`=-2e^(-x)
6.y=2xsin(2x+5)
y`=(2x)`sin(2x+5) +2x[sin(2x+5)]`
=2sin(2x+5)+4xcos(2x+5)
7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
f`(x)=-e^x
与x轴交于(0,0)
x=0代入f`(x)=-1
切线方程y=-x
1.y=x^3+log2x2.y=x^n+e^x3.y=(x^3-1)/sinx4.y=(x+1)^995.y=2e^(-x)6.y=2xsin(2x+5)7.设函数f(x)=1-e^x的图像与x轴相交于点P,求曲线在点P处的切线方程
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